SOLUTION: 1. What is the point of intersection of 2x+y=5 and x-3y=7? This is what I have so far: 5+7=12 3x/3=12/3=4 4-3y=7 =

Algebra ->  Linear-equations -> SOLUTION: 1. What is the point of intersection of 2x+y=5 and x-3y=7? This is what I have so far: 5+7=12 3x/3=12/3=4 4-3y=7 =       Log On


   

Question 1020507: 1. What is the point of intersection of 2x+y=5 and x-3y=7?
This is what I have so far:
5+7=12
3x/3=12/3=4
4-3y=7
=

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'm not sure what you've done so far.
Use eq. 1 to get an expression for y and substitute into eq. 2,
2x%2By=5
y=-2x%2B5
Substituting,
x-3%28-2x%2B5%29=7
x%2B6x-15=7
7x=22
x=22%2F7
Then use either equation to solve for y.
y=-2%2822%2F7%29%2B5
y=-44%2F7%2B35%2F7
y=-9%2F7
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Graphical confirmation of the solution.
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