Step-by-step explanation:
I'll be using substitution to solve this since it's easier. Since y = 3x - 9, I can plug that into the y for the other equation and vice versa.
[tex]3x - 9 = - 2x + 1[/tex]
1.) Cancel out -2x on the right side by adding it on both sides.
[tex]5x - 9 = 1[/tex]
2.) Cancel out -9 on left side by adding it on both sides.
[tex]5x = 10[/tex]
3.) Divide both sides by 5 to isolate and solve for x.
[tex]x = 2[/tex]
4.) Plug x into one of the equations to solve for y.
[tex]y = - 2(2) + 1[/tex]
5.) Solve.
[tex]y = - 4 + 1 \\ y = - 3[/tex]
Solution: (2, -3)
