(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 choice a.

Step-by-step 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.

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step-by-step explanation: