How can you get coefficients that are equal for x? 3x + 2y = 12 6x + 3y = 21A.Divide both sides of the top equation by 3 B.Multiply both sides of the top equation by 2 C.Divide both sides of the...

How can you get coefficients that are equal for x?

3x + 2y = 12

6x + 3y = 21

A.Divide both sides of the top equation by 3

B.Multiply both sides of the top equation by 2

C.Divide both sides of the top equation by 2

D.Multiply both sides of the top equation by 3

Asked on by tarja19

2 Answers | Add Yours

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The equations we have are:

3x + 2y = 12 ...(1)

6x + 3y = 21 ...(2)

To make the coefficient of x equal we can multiply both sides of (1) by 2

2(3x + 2y) = 2*12

=> 6x + 4y = 24

The correct answer is option B.

giorgiana1976's profile pic

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

First, we'll identify the coefficients of x:

- for the top equation, the coefficient of x is 3;

- for the 2nd equation, the coefficient of x is 6.

Since 6 is a multiple of 3, we'll multiply both sides of the top equation by 2, to get equal coefficients of x:

2*(3x + 2y) = 2*12 => 6x + 4y = 24

Therefore, in order to get equal coefficients for x, we'll chose the correct option B:Multiply both sides of the top equation by 2.

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