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\[y = \frac{ 1 }{ 2 }x - 6\]
2x + 6y = 19

I know that answer is (11, -1/2) but I don't know how to solve it.

So, you know what y equals.
If you see y in another equation can't you just plug it in?

I will ask you a series of questions to help you solve this.
Question 1: what does y equal?

-1/2

Y does not equal -1/2
Read the first equation out loud and listen to what y is equal to.

1/2 - 6

If x = 25r + 25b
Then x is equal twenty-five r plus twenty-five b.

Okay.

Question 2:
If x = 5,
what is y , if:
x + 10 = y

x plus ten.

This is the substitution part, if you know that x is 5.....
What is y?

Y would then be
x+10=y
5+10=y
15=y

Okay.

Okay.

So there's the way to solve for x. Once you get a numerical answer for x, you can solve for y.

Okay, so what do you do afterwards?

Did you solve for x?

Well, what I meant was do i combine 2x and 1/2x?

You need to distribute the 6 since it was 6y and then you can proceed with solving for x from there.

5x - 36 = 19
5x = 55
x = 11
Replace x in one of the equations.
y = 1/2(11) - 6
y = 5.5 - 6
y = -1/2

And you have just solved by substitution.

How do you go from 2x + 6(1/2x - 6) = 19 to 5x - 36 = 19?

I've done the other problems myself, its just that i didn't understand this one.

*I

http://www.worksheetworks.com/math/pre-algebra/equations-like-terms-distributive.html

Thank you.

What do you want?

I blocked you?

It doesn't say I did.

It doesn't say I blocked you. I have to go.

where?

Valentina?