anonymous
  • anonymous
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
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
I'll try to help. Are you still around?
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
Okay, gimme a sec. (writing problems down)

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

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

Looking for something else?

Not the answer you are looking for? Search for more explanations.