Question

Solve the system. 2x + y = −3 −2y = 6 + 4x Write each equation in slope-intercept form. y = x + y = x +

Answer 1

y = -2x + -3

y = -2x + -3

Answer 2

• there are an infinite number of solutions (x, y) = (x, -2x-3)
• each equation in slope-intercept form is the same as the other: y=-2x-3

Explanation:

The first equation can be put into slope-intercept form by subtracting 2x:

y = -2x -3

The second equation can be put into slope-intercept form by dividing by -2:

y = -2x -3

The two equations are identical, so there are an infinite number of solutions. For any choice of x, the value of y is -2x-3.