Question

3x+5y=-16
y=2x-11

Answer 1

Are you trying to solve for both y and x as a system of equations?

Answer 2

x=-3

Answer 3

yes @CShrix

Answer 4

Alright! Do you know the two methods for solving a system of equations?

Answer 5

is it substitution ? @CShrix

Answer 6

Substitution is one of them! Elimination is the other method. Which would you prefer to use?

Answer 7

i prefer substitution its the only one i sort of understand @CShrix

Answer 8

\[x=\frac{ 71 }{ 13 } y=-\frac{ 1 }{ 13 }\]

Answer 9

@MohammedHemaid Please do not just give the answers without explanation. Truly the meaning of learning is lost.

@destineealyssa I can show you both methods. Sometimes one is easier than the other so it's always good to know both! Work smarter, not harder! X)

Answer 10

that would be great thank you ! @CShrix

Answer 11

i am sorry i will next time

Answer 12

So let's look at the one you're familiar with: Substitution!

The point of substitution is to isolate one variable so that we can plug it into the other equation! In this scenario, it's actually set up very nice for us because we're given that y=2x-11. We don't have to do anything to solve for y because it's already solved for us! (We could choose to solve for x instead, and plug that into the other equation, but like we just said, we already have y isolated for us!)

So if we plug y=2x-11 into our other equation, we get this:\[3x+5(2x-11)=-16\]As you can see, we substituted our expression for y from one equation into y in the other equation! Can you solve x from here?