# Solve by substitution.y = -2x + 1y = -6x - 11

Systems of equations

Solve by substitution.
$$y = -2x + 1$$
$$y = -6x - 11$$

2021-02-10

Let: Solve by substitution.
$$y = -2x + 1$$
$$y = -6x - 11$$
Substitute (1) to (2) and solve for x: $$-2x+1=-6x-11$$
Add 6x to both sides: $$4x+1=-11$$
Subtract 1 from both sides: $$4x=-12$$
Divide both sides by 4: $$x=-3$$
Sovle for y using (1): $$y=-2(-3)+1$$
$$y=6+1$$
$$y=7$$
So, the solution of the system is: (-3,7)