To solve this system of equations by elimination, what operation could be used to eliminate the x-variable and find the value of

Question

3 years ago

11

y?
−6x − 4y = 2
−4x − 7y = 2

1 answer:

stepan [7] · Answer 1 · 2022-05-08T18:57:54+03:00

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

- 6x - 4y = 2 → (1)

- 4x - 7y = 2 → (2)

Multiplying (1) by 4 and (2) by - 6 will eliminate the x- term

- 24x - 16y = 8 → (3)

24x + 42y = - 12 → (4)

Add (3) and (4) term by term

26y = - 4 ( divide both sides by 26 )

y = $\frac{-4}{26}$ = - $\frac{2}{13}$