SOLUTION: I need help with this, my teacher didn't fully explain it to us. 7x+6y=2 2x-3y=10

Question 817466: I need help with this, my teacher didn't fully explain it to us.
7x+6y=2
2x-3y=10
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
there are several ways to solve this "systems of linear equations"
one way is by the so-called "elimination" method.
modify one of the equations so that after the modification, you can add the two equations and one of the terms will drop out of (add to zero), both equations:
---
original:
7x + 6y = 2
2x - 3y = 10
---
modified the second equation:
7x + 6y = 2
(2)2x - (2)3y = (2)10
---
modified and simplified:
7x + 6y = 2
4x - 6y = 20
---
now add the two modified and simplified equations:
11x = 22
---
x = 2
---
now substitute x into either equation and solve for y:
7(2) + 6y = 2
6y = 2 - 7(2)
6y = -12
---
y = -2
---
answer:
x = 2
y = -2
---
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