SOLUTION: Use the comparison method to solve the following system of equations. Check your answer. (1) 2x

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Question 1019868: Use the comparison method to solve the following system of equations. Check your answer.
(1) 2x - 3y = 5
(2) 2x + 5y = -3
Answer by LinnW(1048) (Show Source):
You can put this solution on YOUR website!
(1) 2x - 3y = 5
(2) 2x + 5y = -3
For 2x - 3y = 5 , add 3y to each side
2x = 5 + 3y
divide each side by 2
x = (5 + 3y)/2
For 2x + 5y = -3 , add -5y to each side
2x = -3 -5y
divide each side by 2
x = (-3 -5y)/2
Now set the two values of x to be equal
(5 + 3y)/2 = (-3 -5y)/2
Multiply each side by 2
5 + 3y = -3 -5y
add 5y to each side
5 + 8y = -3
add -5 to each side
8y = -8
divide each side by 8
y = -1
Substitute -1 for y in 2x + 5y = -3
2x + 5(-1) = -3
2x -5 = -3
add 5 to each side
2x = 2
divide each side by 2
x = 1
So x = 1 and y = -1
You can enter 2x - 3y = 5 ; 2x + 5y = -3 into www.wolframalpha.com to verify.
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SOLUTION: Use the comparison method to solve the following system of equations. Check your answer. (1) 2x - 3y = 5 (2) 2x + 5y = -3