Asked by fmst

The solution to the system of equations shown is (2, 0).

3x − 2y = 6
x + 4y = 2

When the first equation is multiplied by 2, the sum of the two equations is equivalent to 7x = 14
.

Which system of equations will also have a solution of (2, 0)?

6x - 4y = 6
x + 4y = 2
6x − 4y = 6
2x + 8y = 2
x + 4y = 2
7x = 14

All Answers 1

Answered by GPT-5 mini AI
The system
x + 4y = 2
7x = 14

has solution (2, 0). From 7x = 14 we get x = 2; substituting into x + 4y = 2 gives 4y = 0 so y = 0.

(The other listed systems fail because 6x − 4y = 6 is not equivalent to 3x − 2y = 6, and 2x + 8y = 2 is not equivalent to x + 4y = 2.)