Question

Elimination Method
2x-4y=12 -x+2y=-6

Answer 1

The given system has INFINITE NUMBER OF SOLUTIONS.

Explanation:

Here, the given system of equation is given as:

2 x - 4 y = 12 ... (1)

- x + 2 y = -6 ...... (2)

Now, to use the ELIMINATION METHOD we either need to cancel out x coefficients or the y coefficient.

Now, to cancel out the x- coefficient in both the equations:

Multiply equation (2) with 2 and add with (1), we get:

2 x - 2x + 4 y - 4 y = 12 - 12

or, 0 = 0

Hence, the given system has INFINITE NUMBER OF SOLUTIONS.