anonymous
  • anonymous
Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. 10x+5y=52.5 30x-7y=80.5
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
multiply the first by -3, add to the second
anonymous
  • anonymous
ok so 10x*-3
anonymous
  • anonymous
ok now is the second part or the whole thing

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anonymous
  • anonymous
ok i messed up yet again so let me start afresh
anonymous
  • anonymous
ok great
anonymous
  • anonymous
here we go ready?
anonymous
  • anonymous
\[10x+5y=52.5\] \[30x-7y=80.5\] multiply top by -3 get \[-30x-15y=-157.5\] \[30x-7y=80.5\]
anonymous
  • anonymous
add the two equations together. the x's add up to zero and you get one equation in y, namely \[-22y=-77\] solve for y and get \[y=\frac{77}{22}=\frac{7}{2}=3.5\]
anonymous
  • anonymous
now that we know y, replace y by 3.5 in either equation and solve for x
anonymous
  • anonymous
\[10x+5y=52.5\] \[10x+5\times 3.5=52.5\] \[10x+17.5=52.5\] \[10x=35\] \[x=3.5\]
anonymous
  • anonymous
so both x and y are 3.5 it doesn't usually work out that way
anonymous
  • anonymous
ok got it now

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