Question

Choose a system of equations with the same solution as the following system:

6x+2y=-6
3x-4y=-18

Answer 1

x + 2 = 0 and y - 3 = 0

Explanation:

We have to find the solution of the system of equations

6x + 2y = - 6 ........... (1)

⇒ 12x + 4y = - 12 .......... (2) and

3x - 4y = - 18 ........... (3)

Now, solving equations (2) and (3) we get,

15x = - 30

⇒ x = - 2

Hence, from equation (1) we get, 2y = - 6 - 6x = - 6 - 6(- 2) = 6

⇒ y = 3

Therefore, the solution of the given system of equations is (-2,3).

Now, x + 2 = 0 and y - 3 = 0 are another system of equations that have the same solutions. (Answer)