Question

5x + y = 6
5x + 3y = -4

The y-coordinate of the solution to the system shown is _____.

Answer 1

You can use either elimination or substitution

Answer 2

?

Answer 3

How do you want to solve this equation. If you have no idea, we will use elimination

Answer 4

Ya lets go with elimination

Answer 5

So first, you multiply the first equation by -1

Answer 6

-5x -6

Answer 7

that gives you
-5x-y=-6
5x+3y=-4

Answer 8

add them together

Answer 9

when you add them together, you get
2y=-10

Answer 10

wait wouldnt it be 2y=-11 since 5+6=11?

Answer 11

No, -5x + 5x = 0. So 0 goes in front. -y+3y=2y so 2y goes next. Then -6-4=-10 so -10 goes in the back.
That leaves 2y=-10.
Then solve for y

Answer 12

Oh ok

Answer 13

how do i solve for y?

Answer 14

divide by 2

Answer 15

oh -5?

Answer 16

yes.
Now plug that into the first equation 5x+y=6

Answer 17

so 5x+-5=6

Answer 18

Yes, now solve for 5

Answer 19

i meant solve for x

Answer 20

divide by 2 again?

Answer 21

No, first, add 5 to both sides to get 5x=11.

Answer 22

Then, you divide by 5 to get rid of the 5 in front of the x

Answer 23

alright

Answer 24

What did you get for x?

Answer 25

1

Answer 26

No, the answer is 11/5

Answer 27

hm

Answer 28

The reason why is because 5x=11 all divided by 5 leaves x=11/5

Answer 29

ohhh ok

Answer 30

So the answers are x=11/5 and y=-5

Answer 31

Ok thank you so much