Solve the system:

Question

96 = 4x + 2y
72 = 2x + y

Answer 1

To solve the system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.

From equation 2: 72 = 2x + y, we can express y in terms of x by subtracting 2x from both sides:
y = 72 - 2x

Now we can substitute this expression for y in equation 1:
96 = 4x + 2(72 - 2x)

Solving this equation will give us the value of x:

96 = 4x + 144 - 4x
96 = 144

This equation is inconsistent and has no solution. Therefore, the given system of equations is inconsistent and has no solution.