Question

(05.02)

Choose the equivalent system of linear equations that will produce the same solution as the one given below. (1 point)

6x + 2y = −6

3x − 4y = −18

Select one:


a. 12x + 4y = −12

15x = −30

b. 8x + 4y = −4

14x = −10

c. 6x − 8y = −36

−6y = −42

d. 6x − y = −15

3y = 9

Answer 1

Answer choice a.

Explanation:

Let's do part of the work of solving the given system:

6x + 2y = −6

3x − 4y = −18

Multiply the first equation by 2 so as to make the coefficient of y = to 4:

12x + 4y = -12

Combine this result with the second equation:

12x + 4y = -12

3x − 4y = −18

------------------------

15x = -30

Note that these results are precisely the same as the equations in Answer Choice a.