Question

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

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


-5
-1

1

Answer 1

Are you there?

Answer 2

Yes

Answer 3

subtract the systems from each other.

or to avoid any confusion what's so ever, multiply one of the equations times -1 and add.
(which basically does subtraction of one of the equations from the other, BUT without any confusion)

Answer 4

So, that would cancel out the 5x and the equation would become -2y = 10, right?

Answer 5

yes, very nice!

Answer 6

then y = ?

Answer 7

-5, because you'd have to divide both sides by -2.

Answer 8

Thank you!!

Answer 9

yes, and after you found y, you can plug in the solution for y into any of the original equations to solve for x.

Answer 10

like, this way:
5x + (-5) = 6
(plugged y solution into the first eq. )

Answer 11

Ok, thanks!!!

Answer 12

anytime... good work !