Algebra 1 system if equations

y = 2x + 6

y = x - 1

The first equation can be rewritten as 2x - y = - 6. I will then substitute the second equation in where the y-variable is. This give you the equation:

2x - (x - 1) = - 6.

Distribute the negative to both terms in the parentheses.

2x - x + 1 = - 6

Combine like terms

x + 1 = - 6

Subtract 1 from both sides

x = - 7

Now plug in - 7 where x goes.

y = - 7 - 1

y = - 8

Your solution is ( - 7, - 8)