Answer:
The given system has INFINITE NUMBER OF SOLUTIONS.
Step-by-step 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.
