Question

Select the statement that correctly describes the solution to the system of equations.

Answer 1

To identify the solution of the system, solve for the value of y for each equation.

$\begin{gathered} y=-2x-2 \\ y=-2x \end{gathered}$

Notice that when we subtract the second equation for the first equation, the obtained equation is not true.

$\begin{gathered} y-y=-2x-2-(-2x) \\ 0\neq-2 \end{gathered}$

This means the two equations are parallel. Thus, there should be no solution since the two linear equations will not meet.