Question

What is the solution of the system? Use the elimination method.

−4x+y=−6
8x−2y=14
The only solution is (0, −32) .
The only solution is (0, −6) .
There is an infinite number of solutions.
There is no solution.

Answer 1

there's no solution

Explanation:

i took the test and i got %100

Answer 2

The factor of y must be the same:
-4x + y = -6
8x - 2y = 14 ):2

-4x + y = -6
4x - y = 7

Now you can add them.

-4x + y = -6
+ (4x - y = 7)
------------------------
0 = 1 -------> there's no solution, because the both graphes are parallel