anonymous
  • anonymous
Solve the system of equations by the addition method. Choose one answer. a. (-2, 1) b. (-2, -1) c. (2, 1) d. (2, -1)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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anonymous
  • anonymous
THe addition method is adding one term to another to get a variable to cancel out.
anonymous
  • anonymous
You can multiply the equations by various numbers first to get the variables just right so they cancel

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More answers

anonymous
  • anonymous
It doesn't matter what variable we choose to cancel out. Let's do x
anonymous
  • anonymous
ok!
anonymous
  • anonymous
We need the number in front of the first x to be the opposite of the second x, like 5, -5, or -3, 3, so they'll add to zero.
anonymous
  • anonymous
Lets multiply the first equation by 5 and the second one by -3 so we'll get a 15x and a -15x
anonymous
  • anonymous
5(-3x+7y=-1) -15x+35y=-5
anonymous
  • anonymous
second equation: -3(-5x-4y=14) 15x+12y=-42
anonymous
  • anonymous
Do you see what I did there?
anonymous
  • anonymous
wynwyn? uthere?
anonymous
  • anonymous
Yes yes yes i see!!
anonymous
  • anonymous
kk... now u just add the equations together. -15x+35y=-5 + 15x=12y=-42
anonymous
  • anonymous
(4 second equation: supposed to be 15x+12y=-42)
anonymous
  • anonymous
so. -15x+15x=0. 35y+12y=47y -5+-42=-47 0+47y=-47
anonymous
  • anonymous
Now just solve for y. 47y=-47 y=-1
anonymous
  • anonymous
Now that u know what y is, plug it back into an equation (it doesn't matter which) and solve for x
anonymous
  • anonymous
-3x+7y=-1 -3x+7(-1)=-1 -3x-7=-1 -3x=6 x=-2
anonymous
  • anonymous
ok
anonymous
  • anonymous
It looks like you want your final answer to be an ordered pair, like a point on a graph. a point is always in the form (x,y), so your final answer is -2,-1
anonymous
  • anonymous
choice b
anonymous
  • anonymous
Thank you so much!!!
anonymous
  • anonymous
welcome! Medal?
anonymous
  • anonymous
tnx :)
anonymous
  • anonymous
no problem! =D

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