Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

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Question 888225:
Solve:
1.
2x+y+2z=11,
3x+2y+2z=8,
X+4y+3z=0

Click here to see answer by richwmiller(17219)

Question 888564: How do you solve this linear equation 7-2/5x=17 ?
Click here to see answer by richwmiller(17219)

Question 888625: y=1/3x
Click here to see answer by jim_thompson5910(35256)

Question 888663: 1. A turtle and a rabbit engage in a footrace over a distance of 4.00 km. The rabbit runs 0.500 km
and then stops for a 90.0-min nap. Upon awakening, he remembers the race and runs twice as
fast. Finishing the course in a total time of 1.75 h, the rabbit wins the race. (a) Calculate the
average speed of the rabbit. (b) What was his average speed before he stopped for a nap?
Click here to see answer by richwmiller(17219)

Question 638214: Solving System of Linear Equations by Elimination. My math this week shows an example and I do not understand where the answer comes from. I will provide the example and show where I got lost.
2a + 3b = 25
-2a + b = 11
I understand this section
2a + 3b = 25
-2a + b = 11
--------------
4b = 36
___ ___
4 4 = b=9
2a + 3(9)= 25 <----- this is where my confusion is: the answer it shows it as -1 BUT HOW DID IT GET THIS ANSWER?
I get the fact that it is a point, I see that the answer is (-1,9) but I do not know how to get the -1, I do know where the 9 came from but not the -1.
I hope this is example enough for help. I have similar questions that I have due but I cannot find out the correct answer if I am missing this one step.

I did one with out the example and came to the same problem of finding one point but not the other. I got it wrong because of that one missing part. I will also show what I did.
6a + 5b = 17
-6a + b = 25

6a + 5b = 17
-6a + b = 25
_____________
6b = 42
___ ___
6 6 which is b = 7
6a + 5(7)=17.....AGAIN I AM STUCK! the correct answer was -3 but I do not see how?

Also is there a easier way of doing this math?
Click here to see answer by richwmiller(17219)

Question 889023: Two cars started from the same point traveling in opposite direction. one traveled
at half the speed of the other. after 5 hours they were 600 km apart. what is the speed of the faster car?

Click here to see answer by josgarithmetic(39617)

Question 889048: Does the point you select matter when your write a point-slope equation? Explain your reasoning using complete sentences.

Click here to see answer by jim_thompson5910(35256)

Question 889133: Find the slope-intercept form of the line that contains the following points: (8, �3) and (�8, 3).
Click here to see answer by Fombitz(32388)

Question 889222: If a>0 and b>0, how do I solve abx<2ab? Thank You.
Click here to see answer by Alan3354(69443)

Question 889293: Determine the equation of the line which has an x-intercept of -4/5 and an undefined slope.
Click here to see answer by Edwin McCravy(20055)

Question 889400: Using the point-slope equation, find the equation containing (-5, -8) and slope m = -3
Click here to see answer by Alan3354(69443)

Question 889404: find two numbers a and b such that following system on linear equation is an inconsistent system
x-y =-4
ax+2y=b
Click here to see answer by richwmiller(17219)

Question 889501: Find the linear equation that passes through (-5,-3) and (0,12)
Click here to see answer by Lapric(19)

Question 889473: Line l passes through (21,-3) and line p is the graph of 7x-4y=13 If what is the slope-intercept form equation of ? Complete the equation of the line in slope-intercept form. If any number in the equation is not an integer, enter it as a fraction in simplest form. y=
Click here to see answer by ankor@dixie-net.com(22740)

Question 889679: A line has a slope of 1/3 and passes through the point 6, -8. What is the equation of the line in slope- intercept form? (y=mx+b)

Click here to see answer by stanbon(75887)

Question 889537: what is the point of intercept of 5x+6y<30 and 7x-8y>-56 ( ), ( ) help
Click here to see answer by Fombitz(32388)

Question 889887: what is the slope of the linear function 6y+3=4x
Click here to see answer by josgarithmetic(39617)

Question 889886: What line is perpendicular to the line y=5x/6 + 11

Click here to see answer by josgarithmetic(39617)

Question 889925: 1. 8a(7b+6c)
2. (12x+8y)(13x-3y)
3. (4a+5b)(4a-5b)
4. (9x-11y)(9x-11y)
5. (9x-11y)(9x-11y)(9x-11y)
6. (9x-11y)(9x-11y)(9x-11y)(9x-11y)
Click here to see answer by Fombitz(32388)

Question 890039: Write the equation of a line that contains the given point and is parallel to the given line.
(4, -1) y= x - 3
Click here to see answer by Alan3354(69443)

Question 890041: Write the equation of a line that contains the given point and is perpendicular to the given line.
(-1, -4); y = 1/6 x + 1

Click here to see answer by Alan3354(69443)

Question 890086: The problem states: Aline slanting downward has slope c and passes through the points (1,8) and (c,2). The slope of the line is c. Find value for c. I have tried to figure out the slope but missing one of the points makes it hard. The textbook only gives examples to find missing point if you know what the slope is and the problem does not list that either. Please help.
Thank you,
Amy W.
Click here to see answer by solver91311(24713)

Question 890142: I have hit a stone wall and need help. I'm only looking to get the right answer, I want to understand how I acheive the right answer everytime.
The current problem is: Find the intercepts of -x+4y=-4
Click here to see answer by Fombitz(32388)

Question 890169: Please help me solve Find an equation of the line containing the given pair of points
(-2,-7) and (-6,-9)
Thanks
Click here to see answer by rothauserc(4718)

Question 890227: Consider the following system of equations.
ax+by=1+a
3ax+2by=-2+b
If the solution to the above system is (� 1, 3), find the values a and b.
Click here to see answer by richwmiller(17219)

Question 890266: solve for the variable
18-10x=63+5x
Click here to see answer by nerdybill(7384)

Question 890308: Find the slope of the line that contains the points (a,b), and (3a, 3b). Both a and b are nonzero with a is not equal to b.
Click here to see answer by richwmiller(17219)

Question 890362: I need help finding the equation of the line containing the given points
(-5,-2), (-3,-7)
Click here to see answer by Alan3354(69443)

Question 890377: Write a linear equation in point slope form that has an x-intercept of -3 and passes through the point of intersection of 3x+5y=2 and 2x-8y=24?
Click here to see answer by richwmiller(17219)

Question 890388: Find the equation of the line that passes through the points (-2, 3) and (1, -6).
Write your answer in Standard Form.
Click here to see answer by Alan3354(69443)

Question 890417: 15(-42x+40)=15(-8x+244) how do I solve this linier equation?
Click here to see answer by algebrahouse.com(1659)

Question 890319: write an equation in slope-intercept form of the line satisfying the given conditions.
perpendicular to -2x+5y=-6 y-intercept (0,-7)
Click here to see answer by lwsshak3(11628)

Question 890412: Write a linear equation to model the situation. You borrow $70 from
your brother. To repay the loan, you pay him $7 per week. Use w to
denote the number of weeks and y as the balance on the loan.

Click here to see answer by josmiceli(19441)

Question 890513: Which set of points are on the line y = 2x - 9?
Click here to see answer by Alan3354(69443)

Question 890512: Which line is perpendicular to the line y = x + 7 ?
Click here to see answer by Alan3354(69443)

Question 890520: m=5/6,(3,-9)

Click here to see answer by josgarithmetic(39617)

Question 890626: Q#1: An equilateral triangle has one vertex at the origin , other vertex on x-axis and the third in the first quadrant. Find the slope of its sides.

Plz mail me the solution of the question with all the complete step by step. plz i again say with all the steps.
Thanks....
Click here to see answer by Theo(13342)

Question 890781: find the slope of the line that through the pairs of points
(2,10) and (8,7)
i have been tryng this but i dont get a rational answer.
thank you
Click here to see answer by Alan3354(69443)

Question 890784: i need help with this question please.
parallel to y=-5x+2 contains the point (-2,-3)
thankyou
Click here to see answer by nerdychic16(11)

Question 890786: for 2-4 determine the equation of each line in slope intercept form using the given information
slope is 7 and contains the point (5,2)
Click here to see answer by Alan3354(69443)

Question 890785: determine the equation of each line in slope intercept form using the given information
slope is 7 and contains the point (5,2)
thankyou
Click here to see answer by Alan3354(69443)

Question 890787: the greater of two number is 12 more than the smaller and the sum of the two number is 10.find the number
Click here to see answer by nerdychic16(11)

Question 890745: 3-2(3y-5)+10=-2y-10

Click here to see answer by nerdychic16(11)

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