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 out.
A.)multiplies the second equation;4
B.)multiplies the first equation;4
C.)multiplies the second equation;-4
D.)multiplies the first equation;-4

Answer 1

A. multiplies the second equation by 4

Explanation:

Given the simultaneous equation,

24x-39=165...(1)

-6x+13y=-51...(2)

To solve the equation using elimination method to cancel out variable x, first we need to ensure the coefficients of x in both equations are the same value but different signs (since Stacy added the expressions after multiplying) so that they can easily cancel out. To make the coefficient have equal value with different signs, we will multiply the first equation by 1 and multiply the second equation by 4 to have

24x-39=165...(3)

-24x+52y=-204...(3)

Adding the resulting simultaneous equation will cancel out the x variable.

Note that the equation was added due to difference in sign of coefficient ox x (24 and-24).

Answer 2

A.)multiplies the second equation; 4

Explanation:

when we multiple second equation by 4 we get -24x -52y = 204 and when we add it up with the first equation we x eliminate x.