How do you solve the following system: 4x+y=−1,5x−7y=12?

1 Answer
MAXIMILIAN C.
Apr 13, 2018

x=533
y=−53
(533,−53)

Explanation:

4x+y=−1, 5x−7y=12
Take the first equation, 4x+y=−1, and isolate y:
y=−4x−1. We can substitute this value into the second equation:
5x−7(−4x−1)=12. Distribute the parentheses:
5x+28x+7=12 Combine like terms, isolate x and coeffecient:
33x=5 Isolate x:
x=533 Input this value into the first equation:
4(533)+y=−1 Distribute y
2033+y=−1 Isolate y
y=−5533
y=−53

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