Question

solve for x-3y=5 and -4x+6y=-15

Answer 1

What do you think the first step is to do? You can substitute/eliminate.

Answer 2

I can solve for one of the equations for x-3y=15

Answer 3

So you want to do substitution? Where you have what one variable equals and you plug it into the other equation? Such as x=some_numbers

In this case x-3y=15
You add the 3y to the other side so you have x=16+3y

Do you know what the next step is?

Answer 4

I would plug it in to the other equarion would it be -4{16+3y)+6y=-15

Answer 5

Correct! Now what does that distribute out to equal?

Answer 6

Y= -49/6?

Answer 7

Oh, I'm sorry I made a typo!
In this case x-3y=15
You add the 3y to the other side so you have* x=16+3y* <- that should equal x=5+3y

Answer 8

so you get -4(5+3y)+6y=-15

Answer 9

I tried figuring it out would the answer be (38/5,-5/6)?

Answer 10

-5/6 is correct but the other one isn't, where do you plug y=-5/6 back into, to solve for x?

Answer 11

Would it be 5/2 i would plug in -5/6 to x-3y=5

Answer 12

Yup, I'm pretty sure that is correct!