SOLUTION: Solve by substitution or elimination method: Thank You 3x – 2y = 26 -7x + 3y = -49

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: Solve by substitution or elimination method: Thank You
3x – 2y = 26
-7x + 3y = -49
This question is from textbook

Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!

3x – 2y = 26.............eq 1
-7x + 3y = -49...........eq 2
:
multiply eq 1 by 3 and eq 2 by 2 and add the equations together
:
9x-6y=78..... eq 1 revised
-14x+6y=-98.... eq 2 revised
:
now adding the two equations together we can see that the y terms are eliminated because -6y+6y=0. We are left with 9x-14x=78-98
:
-5x=-20
:
x=4
:
now take x's found value and plug it into any equation and solve for y. I will use eq 1
:
3(4)–2y =26
:
12-2y=26
:
-2y=14
:
y=-7
:
(4,-7)
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