Question

1.1. Which statement explains why the two systems of equations below have the

same solution?

A

6x + 8y = -10

2x - 5y = 12

B

8x + 3y = 2

12x + 16y = -20

Answer 1

B. The first equation in B is the sum of the equations in A, while the other is obtained

by multiplying the first equation in A by 2.

Explanation:

If we add the first two equations that shown in A so

6x + 8y + 2x - 5y = -10 + 12

8x + 3y = 2

Now the first equation in A would be multiplied by 2

So

2(6x + 8y = -10)

12x + 16u = -20

Therefore the correct option is B.