How do you solve y=x-5y=x−5 and 4x+2y=84x+2y=8?

1 Answer
rihanna d.
Apr 1, 2018

y = x - 5y=x−5 is equation 1
4x + 2y = 84x+2y=8 is equation 2
Substitute equation 1 into equation 2 where possible and is as follows:
4x + 2(x - 5) = 84x+2(x−5)=8
4x + 2x- 10 = 84x+2x−10=8
4x + 2x = 8 +104x+2x=8+10
6x = 186x=18
x = 18 / 6x=186
x =3x=3
To find the value of y, substitute the value for x in equation 1 or 2 but I'll use equation 2 because it is easier and requires less calculations.
y = x - 5y=x−5
y = 3 - 5y=3−5
y = -2y=−2

x = 3 ; y = -2x=3;y=−2
(3,-2)(3,−2)

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