PLEASE HELP ME

Multiply each equation by a constant that would help to eliminate the y terms.

2 x - 5 y = -21. 3 x - 3 y = -18.

What are the resulting equations?

A) 6 x - 15 y = -63. -15 x + 15 y = 90.

B) 6 x -15 y = 63. -15 x + 15 y = 90.

C) 6 x - 15 y = -63. -15 x + 15 y = -90.

D) 6 x - 15 y = -63. -15 x + 15 y = 90.

Question

12-02-2020
Mathematics

contestada

PLEASE HELP ME

Multiply each equation by a constant that would help to eliminate the y terms.

2 x - 5 y = -21. 3 x - 3 y = -18.

What are the resulting equations?

A) 6 x - 15 y = -63. -15 x + 15 y = 90.

B) 6 x -15 y = 63. -15 x + 15 y = 90.

C) 6 x - 15 y = -63. -15 x + 15 y = -90.

D) 6 x - 15 y = -63. -15 x + 15 y = 90.

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goddessboi goddessboi · Answer 1 · 2020-02-12T19:42:27+01:00

Since the coefficient of y in the left equation is 5 and the coefficient in the right equation is 3, we can simply multiply 3*5 to get 15 and this is what both coefficient would have to be. This means multiplying the first equation by 3 to get 6x-15y=-63 and multiplying the second equation by 5 to get 15x-15y=-90. Notice how we're not done. We need to negate the second equation that way the y-terms will be eliminated. So the second equation must be -15x+15y=90. So the correct choice is A.

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