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

1 Answer
Topscooter
Dec 20, 2015

#x=-5/7,y=-3/7#

Explanation:

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

#y = -5x - 4 iff 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 iff -2x + y = 1, 7x = -5 iff -2x + y = 1,x=-5/7 iff x=-5/7,y=1 - 10/7 iff x=-5/7,y=-3/7#

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