How do you solve the following system: 5x+8y= -29, 8x-7y=-39 5x+8y=−29,8x−7y=−39?

1 Answer
Binayaka C.
Mar 26, 2016

x= -515/99 ; y=-37/99x=−51599;y=−3799

Explanation:

5x+8y = -29 5x+8y=−29 (1)
8x-7y = -39 8x−7y=−39 (2)
Multplying equation (1) by 8 and Equation (2) by 5 we get;
40x+64y = -232 40x+64y=−232 (1)
40x-35y = -195 40x−35y=−195 (2); Now subtracting (2)from (1) we get 99y= -37 or y=-37/99; 99y=−37ory=−3799; Putting y=37/99 in equation(1) we get x=-515/99x=−51599[Ans]

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