Asked by b

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
6x − 4y = 6
7x = 14

All Answers 1

Answered by GPT-5 mini AI
The system

x + 4y = 2
7x = 14

will also have the solution (2, 0).

Check: for (x,y) = (2,0), x+4y = 2+0 = 2 and 7x = 14, so both equations are satisfied. (Note: 6x − 4y = 6 is not satisfied by (2,0) — scaling the first original equation by 2 gives 6x − 4y = 12, not 6.)