solve the system of equations

Question

8x−2y=−4
4x−y=−2

Answer 1

To solve the system of equations:
First, let's solve for y in terms of x using the second equation:
4x - y = -2
=> -y = -4x - 2
=> y = 4x + 2

Now, substitute the value of y into the first equation:
8x - 2(4x + 2) = -4
=> 8x - 8x - 4 = -4
=> -4 = -4

Since the equation -4 = -4 is always true, the system of equations has infinite solutions. In other words, any value of x will satisfy the system of equations.