Question

Select the correct choices that belong in the blank for the system of equations shown below.

24x - 39 = 165

-6x +13y = -51

In order to solve this system by elimination, Stacy ____________ by ______. Then, when she adds the equations together, the x terms will cancel.

Question 4 options:

multiplies the second equation; 4


multiplies the first equation; 4


multiplies the second equation; -4

Answer 1

The answer to your question is Stacy multiplies the second equation by 4.

Explanation:

24x - 39y = 165 (I)

- 6x + 13y = -51 (II)

Multiply the second equation by 4

24x - 39 y = 165

-24x + 52y = -204

Simplify

0 + 13y = 39

y = 39/ 13

y = 3

Find "x" value 24x - 39(3) = 165

24x - 117 = 165

24x = 165 + 117

24x = 282

x = 282 / 24

x = 47/4