Question

Y = -2x+2
y = 7x+11
Solve this system of equation by substitution

Answer 1

y=4 and x=-1

Explanation:

so in the first equation get x by itself so subtract 2x and subtract y and then divide by two so you should have x=1+y/2

then in the second equation plug in 1+y/2 for x

y=7(1-y/2)+11

(distribute) y=7-7y/2+11

y=18-3.5y

(add 3.5y) y+3.5y=18

4.5y=18

divide by 4.5 and y=4

now go back to the first equation and solve for x

4=-2x+2

2=-2x

x=-1