In order to find the number of solutions to the system of equations, we can solve the equations and see if there is a unique solution, infinitely many solutions, or no solution.
First, let's solve the first equation for y:
2x = y + 4
y = 2x - 4
Now we substitute this expression for y into the second equation:
-4x + 2(2x - 4) = 2
-4x + 4x - 8 = 2
-8 = 2
This equation is not true, which means there is no solution to the system of equations.
Therefore, the number of solutions to the system of equations is 0.
Identify the number of solutions to the system of equation:
2x = y + 4
-4x + 2y = 2
1 answer