anonymous
  • anonymous
Solving systems by substitution and elimination?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[y = \frac{ 1 }{ 2 }x - 6\] 2x + 6y = 19
anonymous
  • anonymous
I know that answer is (11, -1/2) but I don't know how to solve it.
cgreenwade2000
  • cgreenwade2000
So, you know what y equals. If you see y in another equation can't you just plug it in?

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anonymous
  • anonymous
What I meant is that, someone told me the answer, but not how they got it. Could you explain to me how they would have got (11, -1/2) as the answer?
cgreenwade2000
  • cgreenwade2000
I will ask you a series of questions to help you solve this. Question 1: what does y equal?
anonymous
  • anonymous
-1/2
cgreenwade2000
  • cgreenwade2000
Y does not equal -1/2 Read the first equation out loud and listen to what y is equal to.
anonymous
  • anonymous
1/2 - 6
cgreenwade2000
  • cgreenwade2000
If x = 25r + 25b Then x is equal twenty-five r plus twenty-five b.
anonymous
  • anonymous
Okay.
cgreenwade2000
  • cgreenwade2000
Y = 1/2X - 6 There is no other answer. By writing y=1/2x-6 We say Y is equal to one half of x minus 6. There is nothing else that is the answer.
cgreenwade2000
  • cgreenwade2000
Question 2: If x = 5, what is y , if: x + 10 = y
anonymous
  • anonymous
x plus ten.
cgreenwade2000
  • cgreenwade2000
This is the substitution part, if you know that x is 5..... What is y?
cgreenwade2000
  • cgreenwade2000
Y would then be x+10=y 5+10=y 15=y
anonymous
  • anonymous
Okay.
cgreenwade2000
  • cgreenwade2000
Now that's just a basic use of substitution. Let's go back to your problem(s) You know what y is equal to y=1/2x-6 So then you look at the other equation 2x + 6y = 19 and say Well if i know what y is, I can replace it with the y there. So 2x + 6y = 19 turns into 2x + 6(1/2x - 6) = 19
anonymous
  • anonymous
Okay.
cgreenwade2000
  • cgreenwade2000
So there's the way to solve for x. Once you get a numerical answer for x, you can solve for y.
anonymous
  • anonymous
Okay, so what do you do afterwards?
cgreenwade2000
  • cgreenwade2000
Did you solve for x?
anonymous
  • anonymous
Well, what I meant was do i combine 2x and 1/2x?
cgreenwade2000
  • cgreenwade2000
You need to distribute the 6 since it was 6y and then you can proceed with solving for x from there.
anonymous
  • anonymous
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
cgreenwade2000
  • cgreenwade2000
And you have just solved by substitution.
anonymous
  • anonymous
How do you go from 2x + 6(1/2x - 6) = 19 to 5x - 36 = 19?
cgreenwade2000
  • cgreenwade2000
6 times 1/2x equals 3x and -6 times 6 equals -36 You may need to go back and review some algebra. It would help tremendously and I do not see another way for you to continue in mathematics without it.
cgreenwade2000
  • cgreenwade2000
I am going to link you to some pages. Please study them and use them and I suggest understanding these concepts before continuing your homeworkl.
anonymous
  • anonymous
I've done the other problems myself, its just that i didn't understand this one.
anonymous
  • anonymous
*I
cgreenwade2000
  • cgreenwade2000
Distribution property is one of the earliest rules learned in algebra. If you can get from 2x + 6(1/2x-6) = 19 to 5x-36=19 well then there may be some necessary review:
cgreenwade2000
  • cgreenwade2000
http://www.worksheetworks.com/math/pre-algebra/equations-like-terms-distributive.html
anonymous
  • anonymous
Thank you.
anonymous
  • anonymous
What do you want?
anonymous
  • anonymous
I blocked you?
anonymous
  • anonymous
It doesn't say I did.
anonymous
  • anonymous
It doesn't say I blocked you. I have to go.
anonymous
  • anonymous
where?
anonymous
  • anonymous
Valentina?

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