anonymous
  • anonymous
Solve the system algebraically. Check your work. 5x + 2y = 10 3x + 2y = 6
Mathematics
schrodinger
  • schrodinger
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arindameducationusc
  • arindameducationusc
i m here
anonymous
  • anonymous
x=2 y=0
UsukiDoll
  • UsukiDoll
the y's seems to be the same so we can distribute a negative sign all over one equation and use elimination method to solve for x.

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UsukiDoll
  • UsukiDoll
@saseal please don't give direct answers as it's a violation of OpenStudy's Code of Conduct.
anonymous
  • anonymous
oh ok..
anonymous
  • anonymous
Try using matrix method. It works everytime.
arindameducationusc
  • arindameducationusc
Check this
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UsukiDoll
  • UsukiDoll
for some reason matrix method is taught way later :(
anonymous
  • anonymous
Yea, they are saving the best for the last lol.
arindameducationusc
  • arindameducationusc
x John can find out now, what say guys?
UsukiDoll
  • UsukiDoll
?
arindameducationusc
  • arindameducationusc
Y is in the solution I gave, now x he can easily find out by putting in the equation
arindameducationusc
  • arindameducationusc
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UsukiDoll
  • UsukiDoll
oh XD
anonymous
  • anonymous
\[A=\left[\begin{matrix}5 & 2 \\ 3 & 2\end{matrix}\right]\] \[B = \left(\begin{matrix}x \\ y\end{matrix}\right)\] \[C = \left(\begin{matrix}10 \\ 6\end{matrix}\right)\] \[A ^{-1} = \left[\begin{matrix}0.5 & -0.5 \\ -0.75 & 1.25\end{matrix}\right]\] \[A ^{-1}C = B = \left[\begin{matrix}0.5 & -0.5 \\ -0.75 & 1.25\end{matrix}\right] \left(\begin{matrix}10 \\ 6\end{matrix}\right) = Find out yourself :)\]

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