Choose the equivalent system of linear equations that will produce the same solution as the one given below.

6x + 2y = −6
3x − 4y = −18

Options :
6x − y = −15
3y = 9

6x − 8y = −36
−6y = −42

8x + 4y = −4
14x = −10

12x + 4y = −12
15x = −30

Question

Choose the equivalent system of linear equations that will produce the same solution as the one given below.

6x + 2y = −6
3x − 4y = −18

Options :
6x − y = −15
3y = 9

6x − 8y = −36
−6y = −42

8x + 4y = −4
14x = −10

12x + 4y = −12
15x = −30

Vocaloid · Answer

You’ll need to solve the first system, determine the solution, then keep solving the other ones until you find one that has the same solution as the first one

For

6x + 2y = −6
3x − 4y = −18

You can multiply the first equation by 2, ending up with 12x + 4y = -12, and from there you can add the two equations to eliminate y, then solve for x, then plug x back into one of the original equations to solve for y.