Questions on Algebra: Systems of Linear Equations answered by real tutors!

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Question 101338: Could you please take the time to help me solve this question: Solve the following system of three linear equations: 2x + y + z = 3, -x + 2y + 2z = 1 and x - y - 3z = -6. Noting that each equation represents a plane, interpret your results.
Thank you, very much for taking the time to help me, most appreciated
Click here to see answer by MathLover1(20850)

Question 101121: the perimeter of rectangle 240 cm. its length is decreased by 10% & its breadth increased by 20 we get the same perimeter find the length & breadth of rectangle
Click here to see answer by ankor@dixie-net.com(22740)

Question 101409:
Click here to see answer by MathLover1(20850)

Question 101419: sketch the graph of f(x)=x^2-6x+11
Click here to see answer by stanbon(75887)

Question 101417: find the inverse function for f(x)-5x^2+12.
Click here to see answer by edjones(8007)

Question 101466: If the reciprocal of 4 times a number is subtracted from the reciprocal of that number, the result is 1/12. What is the number?
Click here to see answer by scott8148(6628)

Question 101467: If the reciprocal of 4 times a number is subtracted from the reciprocal of that number, the result is 1/12. What is the number?
Click here to see answer by scott8148(6628)

Question 101468: If the reciprocal of 4 times a number is subtracted from the reciprocal of that number, the result is 1/12. What is the number?
Click here to see answer by scott8148(6628)

Question 101469: If the reciprocal of 4 times a number is subtracted from the reciprocal of that number, the result is 1/12. What is the number?
Click here to see answer by scott8148(6628)

Question 101470: If the reciprocal of 4 times a number is subtracted from the reciprocal of that number, the result is 1/12. What is the number?
Click here to see answer by scott8148(6628)

Question 101473: Evaluate the expressions if x = -2, y = 5, and z = -2: -5(-3y - 2z)
Click here to see answer by praseenakos@yahoo.com(507)

Question 101413: solve 2x^2-3x-14=0
Click here to see answer by oberobic(2304)

Question 101416: find the slope intercept form of a line that passes through A(8,3) and B(-7,-5)
Click here to see answer by edjones(8007)

Question 101612: We're back.
Consecutive Intergers - Write the equation and solve.
The problem: Twice the greater of two consecutive odd integers is 13 less than three times the lesser. What are the integers.
Click here to see answer by scott8148(6628)

Question 101664: Please help with this problem
1/2x - 2 = 1/3(x-2)
Your help will be greatfully appreciated because I'm confused.
Click here to see answer by scott8148(6628)

Question 101854: The sum of three times a number and 7 more than the number is the same as the difference between -11 and twice the number. Find the number.
Click here to see answer by stanbon(75887)

Question 101667: Please help with this problem
1/2x - 2 = 1/3(x-2)
Your help will be greatfully appreciated because I'm confused.
Click here to see answer by ankor@dixie-net.com(22740)

Question 101867: Bruce Springsteen and the E Street Band generated top revenue on the concert circuit in 2003. Springsteen and second-place Celine Dion together took in $196.4 million from ticket sales. If Celine Dion took $35.4 million less than Bruce Springsteen and the E Street Band, how much revenue did each generate?
Click here to see answer by doukungfoo(195)

Question 101979: The x represents an integer, how can you express the next smaller consecutive integer in terms of x?
Click here to see answer by stanbon(75887)

Question 101999: If the sum of three consecutive even integers is 60, what is the first of the three even integers?
Click here to see answer by bucky(2189)

Question 101996: Find two consecutive even integers such that the lesser added to three times the greater gives a sum of 46.
Click here to see answer by mathemanic(13)

Question 101972: The sum of the measures of the angles of any triangle is 180 degrees. In triangle ABC, angles A and B have the same measure, while the measure of angle C is 60 degrees greater than each of A and B. What are the measures of the three angles?
Click here to see answer by MathLover1(20850)

Question 102155: Hi, Can you please help with this equation? I have a test first thing tomorrow morning and I am very stuck. I know what the answers should be, (x=1.5 and y=-0.8) but and having trouble getting there.
The equation is as follows:
1.2(x+4)-2.5(3y-2) = 2
4/5(3x-5)+ 3/2(3y-4) = -10
This is what I've got so far:
1.2(x+4)-2.5(3y-2) = 2
.08(3x-5)+1.5(3y-4) = -10
1.2x + 4.8 -7.5y+5 = 2
2.4x-4 + 4.5y-6 = -10
1.2x + 9.8 -7.5y = 2
2.4x -10 + 4.5y = -10
2.4x x -7.5 -10x-7.5 +4.5y-7.5 = 10x-7.5
-18x +75 -33.75y = -75
1.2x-18x +9.8+75 - 7.5y-33.75y = -75+2
16.8x + 84.8 - 41.25y = 77

Click here to see answer by stanbon(75887)

Question 102166: Solve the system of equation
5x+y=12
2x=3y-19
Click here to see answer by checkley75(3666)

Question 102115: Mr. Calvillo wants to enclose a rectangular area for a garden space of a given square footage. The length of the plot will vary inversely as the width. If her decides on a width of 18 feet, the garden will be 30 feet long. How long will a 45-foot wide garden be?
Click here to see answer by elima(1433)

Question 102274: Solve the system by the addition method:
Eq 1 states: 3x = 3 + 2y
Eq 2 states: -4/3x + y = 1/3
Click here to see answer by stanbon(75887)

Question 102280: trying to help my son...everyone in the house has worked and we get different answers. Please help us to understand! Gets confusing w/all the fractions...
c/2 - d/5 = -4;2c/3 -3d/5 = -7
thank you!
Click here to see answer by Fombitz(32388)

Question 102281: Could you please take the time to help me solve this problem: Solve the following system of three linear equations: x � 2y = 4 and 2 x � 3 y + 2 z =
� 2 and 4 x � 7 y + 2 z = 6. Noting that each equation represents a plane, interpret your result.
Thank you, for taking the time to help me
Click here to see answer by stanbon(75887)

Question 102311: The sum of two numbers is 36. The difference between the larger number and 8 equals the total of 4 and 3 times the smaller number. Find the 2 numbers
Click here to see answer by doukungfoo(195)

Question 102093: give an equation for the line whose x-intercept is 5 and whose y-intercept is -4
Click here to see answer by edjones(8007)

Question 102386: The sum of two integers is 36, the difference is 6. What is the smaller of the two numbers?
Click here to see answer by Nielsen(1)

Question 102459: Solve the linear systems usung any method:
Eq.1 : 1/3x - 3/4y = -1/2
Eq.2 : 1/6x + 1/8y = 3/4
Click here to see answer by edjones(8007)

Question 102387: One integer is two more than another. The sum of the lesser integer and twice the greater is 7. What is the greater integer?
Click here to see answer by MathLover1(20850)

Question 102460: (y+10)*X=1800
(x+10)*Y = 2000
Click here to see answer by Fombitz(32388)

Question 102490: Can someone help me understand this?
The school system is trying to help their students be more successful. They are going to hire tutors to help. They must have more teachers than tutors. The maximum number of teachers and tutors to be hired is 50. How many tutors and how many teachers can they hire?
Let x = number of teachers hired.
Let y = number of tutors hired.
a. Write an inequality that represents the statement that the number of teachers hired must exceed the number of tutors hired.
b. Write an inequality that represents the statement that the maximum number of teachers and tutors is 50.
c. Choose a point that satisfies the situation, and explain why you chose that number of tutors and teachers.
Click here to see answer by stanbon(75887)

Question 102333: -3(x+5)=8x+18
i don't understand the process of moving the variable to one side of the equal sign.
Click here to see answer by elima(1433)

Question 102300: This is a System with 3 variables. On this problem you have to solve the system elimination. Please help if you can.

x+y+2z=3
2x+y+3z=7
-x-2y+z+10
Click here to see answer by scott8148(6628)

Question 102508: Solve the system by addition or substitution.
�15x + 3y = 9
y = 3 + 5x
Please help me with this problem step by step if at all possible then maybe I can actually catch on, on how to do these problems. THANK YOU!!
Click here to see answer by oberobic(2304)

Question 102273: Solve the system by using the substitution method. Determine whether the equations are Independent, Dependent, or Inconsistent:
1/2x + 1/3y = -1/3
1/2x + 2y = -7
Click here to see answer by jim_thompson5910(35256)

Question 102730: sum of the digit of two digit no. is 12. the given no. exceed the no. obtained by interchange the digit by 36. find the given no.
Click here to see answer by ankor@dixie-net.com(22740)

Question 102731: each side of a triangle is increased by 10 cm. of the ratio of the perimeter of the new triangle and the given triangle is 5:4. find the perimeter of given triangle.
Click here to see answer by edjones(8007)

Question 102846: Please help with this problem
Solve the linear systems by any method.
Eq 1 states: 1/3x - 3/4y = -1/2
Eq 2 states: 1/6x + 1/8y = 3/4

Click here to see answer by stanbon(75887)

Question 102855: Solve the system by addition method

Eq 1 states: .18x + .27y = .09
Eq 2 states: .06x - .54y = -.04
Click here to see answer by jim_thompson5910(35256)

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