SOLUTION: Goodmorning I need help solving this system of linear equation. please include steps through out.thankyou 2x + 5y = 4 3x + 2y = 17

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Question 367660: Goodmorning I need help solving this system of linear equation. please include steps through out.thankyou
2x + 5y = 4
3x + 2y = 17

Answer by amoresroy(361) About Me  (Show Source):
You can put this solution on YOUR website!
2x + 5y = 4
3x + 2y = 17
Multiply the 1st equation by 1.5
1.5(2x+5y) = 1.5(4)
3x + 7.5y = 6
Subtract this equation by the 2nd equation
3x + 7.5y = 6
3x + 2y = 17
------------------
0 + 5.5y = -11
Divide both sides by 5.5
y = -2
Substitute y = -2 in equation1
2x + 5(-2) = 4
2x + -10 = 4
Add 10 to both sides
2x = 14
x = 7