Question

What is the value of y in the solution to the following system of equations?

2x + y = −4
5x + 3y = −6

Answer 1

It's -4 right?

Answer 2

@ganeshie8

Answer 3

have you learned about solving with substitution?

Answer 4

@ilikemath50

Answer 5

yes

Answer 6

ok that makes things easier to explain :-) do you know how to start this?

Answer 7

if not that is fine

Answer 8

Yes I have, but I am sort of forgetting how to..

Answer 9

ok since we are solving for y we want the y on the first equation by itself. Can you do that?

Answer 10

2x + y = - 4
y = -2x - 4

Answer 11

then we substitute -2x - 4 in for y for the equation 5x + 3y = −6 right?

Answer 12

5x + 3(-2x - 4) = -6

Answer 13

am i doing okay so far? I don't remember this very well so im doing my best lol

Answer 14

5x - 6x - 12 = - 6

Answer 15

-x = -6 + 12
-x = 6 or x = -6

and we substitute x for -6 in the equation 2x + y = - 4

Answer 16

2(-6) + y = -4
-12 + y = -4

Answer 17

y = -4 + 12
y = 8

then we check the answer...

Answer 18

2x + y = -4
2(-6) + 8 = -4
-12 + 8 = -4
-4 = -4
y = -4

Answer 19

done

Answer 20

I'm doubting myself a lil bit though, lol

Answer 21

are you there? @sleepyjess