Question

Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.

Answer 1

It has one solution (1,0)

Explanation:

y = -2x + 2

y = 4x -4

Substitute the y's

4x - 4 = -2x + 2

Let's move the variables to one side

4x - 4 = -2x + 2

+2x +2x

6x - 4 = 2

Lets move the constant to the other side

6x - 4 = 2

+4 +4

6x = 6

Divide both sides by 6

6x/6 = 6/6

x = 1

Let go back to y = -2x + 2

Substitute the x with 1

y = -2(1) + 2

y = -2 + 2

y = 0