anonymous
  • anonymous
What is the solution for this system of linear equations? please explain!! y=x-8 y=8x-71
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
set them equal to eachother, you will end up with x-8 = 8x -71, solve for x
anonymous
  • anonymous
then what do you do? im confused?
anonymous
  • anonymous
start by adding 71 to both sides

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anonymous
  • anonymous
x=63?
anonymous
  • anonymous
close, divide by the coefficient of the x
anonymous
  • anonymous
whats the coefficient?
anonymous
  • anonymous
7
anonymous
  • anonymous
so I have 8x-71=1x=8 explain to me what I do from here? I subtract 71 from both sides here?
anonymous
  • anonymous
i would start by subtracting \(x\) from both sides, to put all the terms with \(x\) on the left
anonymous
  • anonymous
in other words get \(7x-71=-8\)
anonymous
  • anonymous
solution of a set of equation means |dw:1364000497143:dw| find the point P(x,y) which satisfies all the equations.
anonymous
  • anonymous
then add 71 to both sides to get \[7x=63\] and finally divide both sides by \&\)
anonymous
  • anonymous
that, is , finally divide both sides by \(7\)
anonymous
  • anonymous
so the answer for x=9?
anonymous
  • anonymous
correct.
anonymous
  • anonymous
so how would I find y now since I know x?
anonymous
  • anonymous
you replace \(x\) by \(9\) in either equation
anonymous
  • anonymous
wait, is y=1?
anonymous
  • anonymous
yes
anonymous
  • anonymous
\[y=x-8\] \[y=9-8=1\]
anonymous
  • anonymous
omg thank you so much! you're amazing!
anonymous
  • anonymous
set them side by side like this: x-8=8x-71 subtract -8 on both sides and add 8 to both sides now you should get -7x=-63
anonymous
  • anonymous
yw (if you meant me, if not, then yw from everyone )
anonymous
  • anonymous
now plug byour answer back into the first equation to get y

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