Question

I THINK IT"S "C"

Solve the following system of equations: 3x − 2y = 6 6x − 4y = 14

(0, 0)

(6, 14)

Infinitely many solutions

No solutions

Answer 1

3x − 2y = 6 /*(-2)
6x − 4y = 14

-6x+4y=-12
+6x-4y = 14
0=2 false

So, this system has no solutions.

Answer 2

Your answer is no solutions.

Multiply the first equation by - 2.

- 2(3x - 2y = 6)
- 6x + 4y = -12

Combine the like terms of this equivalent equation and the original second equation.

- 6x + 4y = -12
6x - 4y = 14

Everything on the left side of the equal sign cancels out leaving you with:
0 ≠ 2

Because this statement is not true, it means there are no solutions to this system of equations.