SOLUTION: how do you find the y-coordinate of the point of intersection for the two lines below? -6x+7y=20 2x-3y=4 how do you find the x-coordinate of the point of intersection for th

Question 458794: how do you find the y-coordinate of the point of intersection for the two lines below?
-6x+7y=20
2x-3y=4
how do you find the x-coordinate of the point of intersection for the two lines below?
x-2y=-2
y=-6x+40
Answer by amoresroy(361) (Show Source): You can put this solution on YOUR website!
how do you find the y-coordinate of the point of intersection for the two lines below?
-6x+7y=20
2x-3y=4
Multiply the 2nd equation by 3 to get
6x-9y=12
Add the 2 equations to eliminate x
7y-9y=32
-2y = 32
y = -16
The y-coordinate is -16
----------------------------------------------
how do you find the x-coordinate of the point of intersection for the two lines below?
x-2y=-2
y=-6x+40
Rearrange 2nd equation to get
6x+y=40
Multiply the 1st equation by 6 to get
6x-12y=-12
Subtract above equation from 2nd equation
(6x-6x)+(y- -12y) = 40 - -12
13y = 52
y = 4
Substitute y =4 in 1st equation to solve for x
x-2(4) = -2
x = 6
The x-coordinate of the point of intersection for the two lines is 6.
RELATED QUESTIONS
what is the coordinate of the point of intersection for the two lines below?... (answered by Mathtut)

How do you find the point of intersection(s) for x = 2y^2 + 3y + 1 and 2x + 3y^2 =... (answered by fractalier)

how do you find the point of intersection of y=3x+1 and... (answered by richwmiller)

How do you find the point of intersection between y=-1/2x+4 and... (answered by stanbon)

how do you find the point of intersection when given two y= formulas without... (answered by glabow)

find the point of intersection for the lines below using the substitution 3x+2y=4... (answered by Cintchr)

The equations of two lines are given as x + 3y = 0 and 2x - y= -7. What are the... (answered by TutorDelphia)

Ariyone claims that 3,6 is the point of intersection of the lines y= 4x-2 and y=1/2x+5.... (answered by scott8148,nerdybill,Alan3354)

2x-y=5 3x+y=5 find the point of intersection for the lines below by... (answered by rchill)