You have two equations:
- \( y = -2x + 5 \)
- \( y = -2x \)
To find the solution to this system of equations, we can set them equal to each other since both represent \( y \):
\[ -2x + 5 = -2x \]
To solve for \( x \), we can add \( 2x \) to both sides:
\[ -2x + 2x + 5 = -2x + 2x \] \[ 5 = 0 \]
This equation is not true. It indicates that there is no solution to the system of equations, meaning the lines are parallel and do not intersect.
Summary:
- The two lines represented by the equations are parallel.
- They do not have any points of intersection and thus have no solution.