Question

Solve the system of equations below using substitution. Show all your work on scratch paper. Then type your solution as an ordered pair.

y = -x + 7
y = 5x + 1

Answer 1

First I would move x and y on the same side so the new equations would be:

y+x=7 and y- (-5x)= 1, then you need to subtract the second equation from the first one

y+x=7

-y- (5x)=1 ,the y value would then be out of the equation leaving you with:

6x=6 then you would divide so

x=1

Then you need to substitute that back into the first equation:

y=(-1) + 7, simplify

y=6 so the final answer is

(1,6)