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Rectangles/224571: the length of a rectangle is three centimeters greater than the width. If the perimeter equals 54 centimeters.
1 solutions

Answer 167753 by drj(1380)   on 2009-10-10 12:33:08 (Show Source):
You can put this solution on YOUR website!
The length of a rectangle is three centimeters greater than the width. If the perimeter equals 54 centimeters.

Step 1. The perimeter P means adding up all the four sides of a rectangle.

Step 2. Let w be the width.

Step 3. Let w+3 be the length

Step 4. Then, P=w+w+w+3+w+3=54.

Step 5. Solving yields the following steps

Solved by pluggable solver: EXPLAIN simplification of an expression

 Here's what you tried: This is an equation! Solutions: w=12. Graphical form: Equation was fully solved.Text form: w+w+w+3+w+3=54 simplifies to 0=0Cartoon (animation) form: For tutors: `simplify_cartoon( w+w+w+3+w+3=54 )` If you have a website, here's a link to this solution.

### DETAILED EXPLANATION

Look at .
It becomes .

Look at .
Moved to the right of expression
It becomes .

Look at .
Eliminated similar terms ,,, replacing them with
It becomes .

Look at .
It becomes .

Look at .
Remove unneeded parentheses around factor
It becomes .

Look at .
Moved these terms to the left
It becomes .

Look at .
It becomes .

Look at .
It becomes .

Look at .
Solved linear equation equivalent to 4*w-48 =0
It becomes .
Result:
This is an equation! Solutions: w=12.

### Universal Simplifier and Solver

Done!

For w=12 , then w+3=15 and P=2(12+15)=54 which is a true statement.

Step 6. ANSWER: The width is 12 cm and the length is 15 cm.

I hope the above steps were helpful.

And good luck in your studies!

Respectfully,
Dr J

drjctu@gmail.com

http://www.FreedomUniversity.TV

 logarithm/224573: condense each expression to a single logarithm I am stuck on this question1 solutions Answer 167751 by drj(1380)   on 2009-10-10 12:29:00 (Show Source): You can put this solution on YOUR website!condense each expression to a single logarithm log3a+log3b+5log3c The sum of the logarithms of each term is the log of their products. Also 5log(3c)=log(3c)+log(3c)+log(3c)+log(3c)+log(3c)=log(3c*3c*3c*3c*3c)=log((3c)^5) ANSWER: I hope the above steps were helpful. For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV http://www.Facebook.com/FreedomUniversityTV http://www.Twitter.com/FreedomUTV
 Angles/224487: the supplementary angle of a 160 degree angle has how many degrees? i have absolutely no idea1 solutions Answer 167743 by drj(1380)   on 2009-10-10 10:59:22 (Show Source): You can put this solution on YOUR website!The supplementary angle of a 160 degree angle has how many degrees? i have absolutely no idea Step 1. Supplementary angles means two angles add up 180 degrees. Step 2. Let 160 be the angle and its supplementary angle is 180-160=20 degrees. Step 3. ANSWER. Given the angle of 160 degrees, then its supplementary angle is 20 degrees since they both add up to 180 degrees. I hope the above steps were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. Good luck in your studies! Respectfully, Dr J
Linear-systems/224489: find three consecutive even integers such that twice largest integer exceeds the sum of the sum of the first two by 6.
1 solutions

Answer 167742 by drj(1380)   on 2009-10-10 10:54:02 (Show Source):
You can put this solution on YOUR website!
Find three consecutive even integers such that twice largest integer exceeds the sum of the sum of the first two by 6.

Step 1. Let n be the first even integer.

Step 2. Let n+2 and n+4 be the next two even integers.

Step 3. Let 2(n+4)=2n+8 be twice the largest integer.

Step 4. Let n+n+2=2n+2 be the sum of the first two.

Step 5. Then, 2n+8=2n+2+6 since twice largest integer exceeds the sum of the sum of the first two by 6.

Step 6. Solving the equation in Step 5 yields the following steps.

Solved by pluggable solver: EXPLAIN simplification of an expression

 Here's what you tried: Graphical form: Equation was fully solved.Text form: 2n+8=2n+2+6 simplifies to 0=0Cartoon (animation) form: For tutors: `simplify_cartoon( 2n+8=2n+2+6 )` If you have a website, here's a link to this solution.

### DETAILED EXPLANATION

Look at .
It becomes .

Look at .
Moved these terms to the left ,
It becomes .

Look at .
It becomes .

Look at .
Moved to the right of expression
It becomes .

Look at .
Remove extraneous zero
It becomes .

Look at .
Eliminated similar terms , replacing them with
It becomes .

Look at .
Since has zero as a factor, it should be replaced with a zero

Look at .
It becomes .
Result:

### Universal Simplifier and Solver

Done!

Step 7. ANSWER: The three consecutive integers can be anything that the satisfies equation in Step 5.

For example 2, 4, 6 will yield 2(6)=2+4+6 which is a true statement

Another example, 20, 22, 24 will yield 2(24)=20+22+6 which is another true statement

I hope the above steps were helpful.

Respectfully,
Dr J

Quadratic_Equations/224467: The height of an object thrown in the air is given by h = t2 – 7t + 3, where h is in feet and t is the time in seconds the object has been in motion. At what time (to the nearest tenth) is the object 10 feet in the air?
1 solutions

Answer 167739 by drj(1380)   on 2009-10-10 10:42:51 (Show Source):
You can put this solution on YOUR website!
The height of an object thrown in the air is given by , where h is in feet and t is the time in seconds the object has been in motion. At what time (to the nearest tenth) is the object 10 feet in the air?

Step 1. Substitute into .

Step 2. Then, which is quadratic equation with two solutions.

The final quadratic equation is after subtracting 10 from both sides of the equation.

Step 3. To solve, use the quadratic formula given as

where a=1, b=-7, and c=-7

 Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=77 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 7.88748219369606, -0.887482193696061. Here's your graph:

Selecting the positive time is 7.9 seconds

Step 4. ANSWER: The time is 7.9 seconds.

I hope the above steps were helpful.

Respectfully,
Dr J

 Travel_Word_Problems/224504: is a car moves with an average speed of 60 km/h an hour , it will travel a distance of 60 km. a. how far would it travel if it moved at this rate for 4 h? b. for 10m h? i tried as u said to try and i think it is for a. averagespeed=distancecovered over time , 60 x 4=240 , 240 % 4 =6o maybe ... i want the answer today plzzz and thank u :)1 solutions Answer 167732 by drj(1380)   on 2009-10-10 10:26:48 (Show Source): You can put this solution on YOUR website!If a car moves with an average speed of 60 km/hour , it will travel a distance of 60 km in 1 hour. a. How far would it travel if it moved at this rate for 4 h? b. for 10 h? Step 1. and Step 2. For Problem a, 60 km/hr * 4 hr = 240 km. Step 3. For Problem b, 60 km/hr *10 hr= 600 km. I hope the above steps were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. Good luck in your studies! Respectfully, Dr J
 Travel_Word_Problems/224529: A train travels 120 km in the same time that a plane covers 336 km. If the speed of the the plane is 10 km per hour less than 3 times the speed of the train, find both speeds.1 solutions Answer 167729 by drj(1380)   on 2009-10-10 10:21:23 (Show Source): You can put this solution on YOUR website!A train travels 120 km in the same time that a plane covers 336 km. If the speed of the the plane is 10 km per hour less than 3 times the speed of the train, find both speeds. Step 1. and Step 2. Let be the speed of the train where t is the time traveled in 120 km. Step 3. Let be the speed of the plane traveled in 336 km with the same time t. Step 4. Then since the speed of the the plane is 10 km per hour less than 3 times the speed of the train, Step 5. Multiply by t to both sides of the equation. Add 10t-336 Divide 10 to both sides of the equation Then and Also, note that the plane's speed is 10km/hour less than 3 times the speed of the train. Step 6. ANSWER: The speed of the train is 50 km/hr and the plane's speed is 140 km/hr. I hope the above steps were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. Good luck in your studies! Respectfully, Dr J
 Graphs/224441: solve the system of equations by graphing. Then Classify the system. x+y=13 x-y= -51 solutions Answer 167692 by drj(1380)   on 2009-10-09 22:54:34 (Show Source): You can put this solution on YOUR website!Solve the system of equations by graphing. Then Classify the system. x+y=13 x-y= -5 Step 1. Graph the two lines as shown below Step 2. Based on the graph the solution is x=4, y=9 or point (4,9) Step 3. Check if (4,9) satisfies the original solutin 4+9=13 which is a true statement 4-9=-5 which is a true statement Step 4. ANSWER: The solution is (4,9). So the system of equations are independent, consistent and unique. I hope the above steps were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. Good luck in your studies! Respectfully, Dr J
Linear_Algebra/224442: Suppose you need to solve a system of equations in which both equations represent lines. How many solutions can your system have?
How many solutions does the following equations have?
8x+4y=8
2x-2y=-4
1 solutions

Answer 167691 by drj(1380)   on 2009-10-09 22:48:11 (Show Source):
You can put this solution on YOUR website!
Suppose you need to solve a system of equations in which both equations represent lines. How many solutions can your system have? None, One, and Many
How many solutions does the following equations have? One. The lines intersect at one point as shown below at (0,2)

8x+4y=8
2x-2y=-4

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 4*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: Error: 'Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115. Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115. '. Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115. Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115.
error_location: 101

I hope the above steps were helpful.

Respectfully,
Dr J

Linear_Algebra/224440: Suppose you need to solve a system of equations in which both equations represent lines. How many solutions can your system have?
How many solutions does the following equations have?
8x+4y=8
2x-2y=-4
1 solutions

Answer 167690 by drj(1380)   on 2009-10-09 22:45:28 (Show Source):
You can put this solution on YOUR website!
Suppose you need to solve a system of equations in which both equations represent lines. How many solutions can your system have? None, One, and Many
How many solutions does the following equations have? One. The lines intersect at one point as shown below at (0,2)

8x+4y=8
2x-2y=-4

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 4*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: Error: 'Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115. Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115. '. Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115. Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115.
error_location: 101

I hope the above steps were helpful.

Respectfully,
Dr J

 Graphs/224445: Solve the equation with graphing then classify 5x-y=10 5x+6y= -251 solutions Answer 167689 by drj(1380)   on 2009-10-09 22:41:53 (Show Source): You can put this solution on YOUR website!Solve the equation with graphing then classify 5x-y=10 5x+6y= -25 1. Graphing the two leads to the following picture: 2. ANSWER: Based on the graph, the two lines intersect at point (1,-5) or x=1 and y=-5. Check if the point (1,-5) satisfies the equations: 5x-y=10 so 5*1-(-5) then 5+5=10 which is a true statement. 5x+6y= -25 so then 5*1+6*(-5)=5-30=-25 which is a true statement. So the intersection point (1,-5) is a solution to the system of equations. I hope the above steps and explanation were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV
 Age_Word_Problems/224465: Mr. Escalate said "five less than one forth of my age is 12 how old am I?"1 solutions Answer 167683 by drj(1380)   on 2009-10-09 22:01:36 (Show Source): You can put this solution on YOUR website!Mr. Escalate said "five less than one forth of my age is 12 how old am I?" Step 1. Let x be the age of Mr. Escalate Step 2. Let x/4 be one-forth of the his age. Step 3. Then since five less than one fourth of his age is 12. Step 4. Add 5 to both sides of the equation Step 5. Multiply 4 to both sides of the equation Step 6. ANSWER: The age of Mr Escalate is 68 years old. I hope the above steps were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. Good luck in your studies! Respectfully, Dr J
 Linear-equations/224364: Solve the system by graphing the equations. 3y-3=0 x+2y=101 solutions Answer 167644 by drj(1380)   on 2009-10-09 20:14:27 (Show Source): You can put this solution on YOUR website!Solve the system by graphing the equations. 3y-3=0 x+2y=10 1. Graphing the two leads to the following picture: 2. ANSWER: Based on the graph, the two lines intersect at point (-8, 3) or x=8 and y=1. Check if the point (8,1) satisfies the equations: 3y-3=0 so at y=1 then 3*1-3=0 which is a true statement. x+2y=10 so at x=8 and y=1 then 8+2*1=-8+2=10 which is a true statement. So the intersection point (8,1) is a solution to the system of equations. I hope the above steps and explanation were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV
 Expressions-with-variables/224381: -1x+5=2x+81 solutions Answer 167620 by drj(1380)   on 2009-10-09 18:14:11 (Show Source): You can put this solution on YOUR website! Step 1. Add x-8 or to both sides of the equation Step 2. Divide 3 to both sides of the equation Step 3. Check solution with original equation which is a true statement Step 4. ANSWER: Solution is I hope the above steps and explanation were helpful. For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry. Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs. Respectfully, Dr J http://www.FreedomUniversity.TV
 Linear-systems/224344: Graph the linear system and tell how many solutions it has. If there is exactly one solution, give the solution. -3X+4Y=-16 -6X=-8Y-321 solutions Answer 167613 by drj(1380)   on 2009-10-09 17:00:19 (Show Source): You can put this solution on YOUR website!Graph the linear system and tell how many solutions it has. If there is exactly one solution, give the solution. -3X+4Y=-16 Equation 1 or multiplying -6X+8Y=-32 after multiplying 2. -6X=-8Y-32 or -6X+8Y=-32 Equation 2 Equations 1 (after multiplying 2 to both sides of the equation) and Equation 2 are identical so there are an infinite many number of solutions. The graph follows below I hope the above steps were helpful. For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV http://www.Facebook.com/FreedomUniversityTV http://www.Twitter.com/FreedomUTV
 Linear-systems/224340: Graph the linear system and tell how many solutions it has. If there is exactly one solution, give the solution 4X-5Y=2 8X+Y=41 solutions Answer 167611 by drj(1380)   on 2009-10-09 16:55:17 (Show Source): You can put this solution on YOUR website!Graph the linear system and tell how many solutions it has. If there is exactly one solution, give the solution 4X-5Y=2 8X+Y=4 Step 1. Graphing the above linear system of equations yields the following Step 2. Based on the above graph the intersection point is (0.5, 0) or x=0.5 and y=0. Check if this point (0.5, 0) satisfies the above system of equations and it does. Step 3. ANSWER: The intersection point (0.5, 0) is a solution to the above system of equations. I hope the above steps were helpful. For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV http://www.Facebook.com/FreedomUniversityTV http://www.Twitter.com/FreedomUTV
 Graphs/224332: Solve the system of equations by graphing: 2y-6=0 x+8y=161 solutions Answer 167608 by drj(1380)   on 2009-10-09 16:44:54 (Show Source): You can put this solution on YOUR website!Solve the system of equations by graphing: 2y-6=0 x+8y=16 1. Graphing the two leads to the following picture: 2. ANSWER: Based on the graph, the two lines intersect at point (-8, 3) or x=-8 and y=3. Check if the point (-8,3) satisfies the equations: 2y-6=0 so at y=3 then 2*3-6=0 which is a true statement. x+8y=16 so at x=-8 and y=3 then -8+8*3=-8+24=16 which is a true statement. So the intersection point (-8,3) is a solution to the system of equations. I hope the above steps and explanation were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV
Equations/224329: Find equation of the line with points m=6/7 (4,-3)
1 solutions

Answer 167605 by drj(1380)   on 2009-10-09 16:36:05 (Show Source):
You can put this solution on YOUR website!
Find equation of the line with points m=6/7 (4,-3)

Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point(0,b).

Step 2. The slope m is given as

Step 3. Let (x1,y1)=(4, -3) or x1=4 and y1=-3 . Let other point be (x2,y2)=(x,y) or x2=x and y2=y.

Step 4. Now we're given the slope . Substituting above values and variables in the slope equation m yields the following steps:

Step 5. Multiply x-4 to both sides to get rid of denominator on right side of equation.

Step 6. Now subtract 3 from both sides of equation to solve for y.

Note: the above equation can be rewritten as

And the graph is shown below which is consistent with the above steps.

 Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc Equation describes a sloping line. For any equation ax+by+c = 0, slope is .X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 45/6 = 7.5.Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 45/-7 = -6.42857142857143.Slope is -6/-7 = 0.857142857142857. Equation in slope-intercept form: y=0.857142857142857*x+-6.42857142857143.

I hope the above steps and explanation were helpful.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV

Miscellaneous_Word_Problems/224323: The length of a new rectangular playing field is 5 yards longer than double the width. If the perimeter of the rectangular playing field is 340 yards, what are its dimensions? I just want to know how to figure the answer out. Please and thank you in advanced!
1 solutions

Answer 167599 by drj(1380)   on 2009-10-09 16:14:36 (Show Source):
You can put this solution on YOUR website!
The length of a new rectangular playing field is 5 yards longer than double the width. If the perimeter of the rectangular playing field is 340 yards, what are its dimensions?

Step 1. The perimeter P means adding up all the four sides of a rectangle.

Step 2. Let w be the width.

Step 3. Let 2w+5 be the length

Step 4. Then, P=w+w+2w+5+2w+5=340.

Step 5. Solving yields the following steps

Solved by pluggable solver: EXPLAIN simplification of an expression

 Here's what you tried: This is an equation! Solutions: w=55. Graphical form: Equation was fully solved.Text form: w+w+2w+5+2w+5=340 simplifies to 0=0Cartoon (animation) form: For tutors: `simplify_cartoon( w+w+2w+5+2w+5=340 )` If you have a website, here's a link to this solution.

### DETAILED EXPLANATION

Look at .
It becomes .

Look at .
Moved to the right of expression
It becomes .

Look at .
Eliminated similar terms ,,, replacing them with
It becomes .

Look at .
It becomes .

Look at .
Remove unneeded parentheses around factor
It becomes .

Look at .
Moved these terms to the left
It becomes .

Look at .
It becomes .

Look at .
It becomes .

Look at .
Solved linear equation equivalent to 6*w-330 =0
It becomes .
Result:
This is an equation! Solutions: w=55.

### Universal Simplifier and Solver

Done!

For w=55 , then 2w+5=115 and P=2(55+115)=340 which is a true statement.

Step 6. ANSWER: The width is 55 yards and length is 115 yards.

I hope the above steps were helpful.

And good luck in your studies!

Respectfully,
Dr J

drjctu@gmail.com

http://www.FreedomUniversity.TV

Problems-with-consecutive-odd-even-integers/224200: If three times the smaller of two consecutive integers is added to four times the larger, the result is 39. Find the smaller integer.
1 solutions

Answer 167578 by drj(1380)   on 2009-10-09 14:41:58 (Show Source):
You can put this solution on YOUR website!
If three times the smaller of two consecutive integers is added to four times the larger, the result is 39. Find the smaller integer.

Step 1. Let n be the smaller integer.

Step 2. Let n+1 be the larger and next consecutive integer.

Step 3. Let 3n be three times the smaller integer.

Step 4. Let 4(n+1) be four times the larger integer.

Step 5. Then 3n+4(n+1)=39 since three times the smaller of two consecutive integers is added to four times the larger will result in 39.

Step 6. Solving the equation in Step yields the following steps:

Solved by pluggable solver: EXPLAIN simplification of an expression

 Here's what you tried: This is an equation! Solutions: n=5. Graphical form: Equation was fully solved.Text form: 3n+4*(n+1)=39 simplifies to 0=0Cartoon (animation) form: For tutors: `simplify_cartoon( 3n+4*(n+1)=39 )` If you have a website, here's a link to this solution.

### DETAILED EXPLANATION

Look at .
Moved these terms to the left
It becomes .

Look at .
Expanded term by using associative property on
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
It becomes .

Look at .
It becomes .

Look at .
Eliminated similar terms , replacing them with
It becomes .

Look at .
It becomes .

Look at .
Remove unneeded parentheses around factor
It becomes .

Look at .
Solved linear equation equivalent to 7*n-35 =0
It becomes .
Result:
This is an equation! Solutions: n=5.

### Universal Simplifier and Solver

Done!

With n=5, then n+1=6 and check the sum 3*5+4*6=15+24=39...which is a true statement.

Step 7. ANSWER: The integers are 5 and 6

I hope the above steps were helpful.

And good luck in your studies!

Respectfully,
Dr J

drjctu@gmail.com

http://www.FreedomUniversity.TV