How do you solve the following linear system: −2x+y=1,y=−5x−4?

1 Answer
Topscooter
Dec 20, 2015

x=−57,y=−37

Explanation:

First of all, we're going to make the x switch size in the 2nd equation.

y=−5x−4⇔y+5x=−4

Now we substract the 1st line to the 2nd one and the system solves itself pretty quickly.

−2x+y=1,y+5x=4⇔−2x+y=1,7x=−5⇔−2x+y=1,x=−57⇔x=−57,y=1−107⇔x=−57,y=−37

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