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Choose a system of equations with the same solution as the following system:

6x + 2y = −6
3x − 4y = −18

a. 8x + 4y = −4
17x + 2y = −28

b. 12x + 4y = 12
21x + 2y = −36

c. 6x + 8y = −36
15x + 6y = −60

d. 6x + y = 15
15x − y = −9

Answer :

BasketballEinstein

Answer:

a. 8x + 4y = −4

17x + 2y = −28

Step-by-step explanation:

{6x + 2y = −6

{3x − 4y = −18

{6x + 2y = −6

{1½x - 2y = −9

___________

[tex]\displaystyle \frac{7\frac{1}{2}x}{7\frac{1}{2} = -\frac{15}{7\frac{1}{2}} \\ \\ x = -2[/tex][Plug this back into both equations above to get the y-coordinate of 3]; [tex]\displaystyle 3 = y[/tex]

Alternatively, you plug the solution of [tex]\displaystyle [-2, 3][/tex] into the top answer choice to get this:

{−16 + 12 = −4 ☑

{−34 + 6 = −28 ☑

These are genuine statements, therefore this system of equations is the system we are looking for.

I am joyous to assist you anytime.

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