SOLUTION: Find the point of intersection of the two lines: 3x-4y=2 -2x+y=1 Thanks in advance

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Question 315903: Find the point of intersection of the two lines:
3x-4y=2
-2x+y=1
Thanks in advance
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
.
The point of intersection is simply the solution to:
3x-4y=2
-2x+y=1
Solve by the addition method. Multiply the bottom equation by 4 and add:
3x-4y=2
-8x+4y=4
-----------
-5x = 6
x = -6/5
.
Plug above into second equation and solve for y:
-2x+y=1
-2(-6/5)+y=1
12/5+y=1
y = 1-12/5
y = 5/5-12/5
y = -7/5
.
Point of intersection:
(-6/5, -7/5)