Is the system of equations is consistent, consistent and coincident, or inconsistent? y=4x−4 y=−4x+4 Select the correct answer from the drop-down menu.

If a system has exactly one or infinite number of solutions then it will be a consistent system.So, we can solve the given system of equation to get the answer.y=4x−4 ................(1)y=−4x+4...............(2)After equating both the equations we will get,4x-4= -4x+44x-4+4x=4 (Adding 4x to each sides).8x-4=48x=4+4 (Adding 4 to each sides).8x=88x/8=8/8 ( Dividing each sides by 8).x=1Now pluging x=1 in equation (1). So,y=4x−4 =4(1)-4 =4-4 =0Hence the solution of the given system is (1, 0) which also means that the two equations is intersecting at a point(1,0).So, the given system is consistent and coincident.