How to graph system of equation

y=-2x+1

y=x-5

what does the solution mean to this problem?

Alright. So, we need to apply the substitution method.

y+5 = x - 5

+5

y+5 = x

x = y+5 Now we have our value for x

Plug in the value for x, then solve.

y = - 2 (y+5) + 1

Distributive property

y = - 2*y + - 2*5 + 1

y = - 2y + - 10 + 1

y = - 2y + - 9

y+2y = - 2y + - 9

+2y

3y = - 9

3y/3 = - 9/3

y = - 3

Here, we know that y = - 3

Now, apply it into an equation to solve for x.

-3+5 = x - 5

+5

2 = x

Now we know that

x = 2

y = - 3