Solve the linear system
4x+4y=-2 y=-x
show work
To solve the linear system, we need to find the values of x and y that satisfy both equations. Let's begin by substituting the second equation into the first equation.
Substitute y = -x into the first equation:
4x + 4(-x) = -2
Simplify:
4x - 4x = -2
Combine like terms:
0 = -2
Since 0 does not equal -2, this means that the system of equations has no solution. The equations are inconsistent, which means they do not intersect and have no common solutions.