Question

He 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)?

Answer 1

Multiplying the first equation by 2, we get:

6x - 4y = 12

Adding the second equation, we get:

6x - 4y + x + 4y = 2 + 12

Simplifying, we get:

7x = 14

This is the same equation given in the problem statement. So any system of equations that has this equation and the second equation will also have the solution (2, 0). For example:

3x - 2y = 6

7x = 14