Y=-3x+2, x-y=2 system of equations

Answer 1

You can use either substitution or elimination to solve the system:

Substitution method: Replace y with (-3x+2) in second equation.

x-(-3x+2)=2

Solve for x: 4x-2=2; 4x=4; x=1

Plug in 1 in second equation: 1-y=2; -y=1; y=-1

The solution to the system is (1, -1)

Elimination method: Rewrite second equation in slope intercept form: -y=-x+2.

Add the two equations together: y = -3x + 2

-y = - x + 2

_________

0 = -4x + 4

Solve for x: 4x = 4; x=1

Plug in 1 in second equation: 1-y=2

Solve for y: y=-1

Same solution (1,-1)