Question

6x + 2y = −6; 3x − 4y = −18. Which other solutions match the top one?

a. 12x + 4y = −12
b. 15x = −30
c. 8x + 4y = −4
d. 14x = −10

Answer 1

Option a (12x + 4y = -12) matches the top equation (6x + 2y = -6) from the given choices.

Step-by-step explanation:

To find which other solutions match the first equation, we need to substitute the x and y values from the first equation into the other equations and see if they are true. Let's start with option a:

12x + 4y = -12. Substituting x = -1 and y = 3 from the first equation, we get: 12(-1) + 4(3) = -12. This equation is true, so option a matches the top equation.

Options b, c, and d need to be tested in the same way, substituting x = -1 and y = 3 into each equation to see if they hold true. But based on just the first option, the answer is a.