OK. I need help solving a linear system by using the elimination method, but I also need to arrange the like terms, but sadly I don't know how. The linear system is 1. 2x - y = 32 2. y -5x = 13. The second equation needs to be arranged. Please help?

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OK. I need help solving a linear system by using the elimination method, but I also need to arrange the like terms, but sadly I don't know how. The linear system is 1. 2x - y = 32 2. y -5x = 13. The second equation needs to be arranged. Please help?

Mathematics
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I'll try to help. Are you still around?
Yes.
Okay, gimme a sec. (writing problems down)

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Other answers:

Sure.
The first trick, is to line the equations up, with all of the variables and numbers in columns. This makes it easier to see what we're looking at.
Yeah I did that. I need to write it in standard form, but the x and y are in the different places.
So, in other words, here is how I rewrote them. -y + 1.2x = 32.2 y - 5x = 13
Oh, lol, I didn't even think about standard form.
The original equation for the first one is 2x - y = 32
How did you get 1.2x?
Ahhhh! Okay. Let's rewrite the equations in standard form. ( I read your first post wrong)
2x - y = 32 5x - y = 13
Do you remember the additive identity property?
Yeah.
Okay. That property lets us move the addition/subtraction terms around however we like.
That's how I was able to rearrange the terms
Do you also remember that you can multiply both sides by a negative?
I know that part to.
Okay
So did you arrange the like terms correctly?
2x - y = 32 5x - y = 13 ?
I'm going to multiply the top equation by negative one, and then I'm going to add the two equations together. And, yes.
That's what I see.
Okay.
Standard form is X + Y = Z
Your going to solve for one variable right?
Yup. One way we can accomplish this is by adding the two equations together.
I thought standad form was Ax + By = c?
Uhh.. Yes. You're more right. (Sorry, haven't used standard form in a while)
It's cool.
Okay. So let's multiply by (-1) 2x - y = 32 becomes -2x + y = -32
Okay and then your going to add it?
I got 3x = - 19
Yes! Now, it becomes very apparent why adding equations is awesome. -2x + y = - 32 + 5x - y = 13 ( I need to double check the negatives)
Okay.
Yeah, it's -2x + y = -32 + 5x - y = -13 I didn't need to multiply the top equation by negative one, (oops!), so I multiplied the bottom one, so that they'll add up nicely again. (Sorry for the confusion)
Would you add them together please?
3x = - 45
x = -15
Yup! Now you just need to clean up.
Now, substitute x for - 15 on another equation, and you'll get y. ^^
-2(-15) + y = -32 30 + y = -32 y = -2
Hmm..... Something went wrong. Argh! Sorry!!
I use it in the original equation don't I?
Alright, let's try this one more time! Hang on, gimme a second.
2(-15) - y = 32 -30 - y = 32 -y = 62 y = -62
Hey I checked..and your right.
The solution is (-15, -62)
O_O Yeah. I checked it. Just some bad 'rithmatic
Ow. Okay, cool. Whew. I was worried I led you down the wrong path. Hehe
It's cool.
Thanks.
Anyway, awesome. Take it easy, and God bless with the rest of your homework. ... Yikes. I think I need some sleep!
Lol. Me too.

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