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Solve these two rational equations. MEDAL+FAN!
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\[\frac{ 2 }{ x+12 }=\frac{ 8 }{ x-13 }\] and \[12=10+\frac{ 5 }{ x+8 }\]
\[2(x-13)=8(x+12)\\ -2=\frac{5}{x+8}\] are two good starts
2(x-13)=8(x+12) 2x-26=8x+96 -26=6x+96 -122=6x -61/3=x
-2(x+8)=5 -2x-16=5 -16=5+2x -21=2x -21/2=x
The first one was right, the second was wrong. :(
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\[12=10+\frac{ 5 }{ x+8 }\]
\[-2=\frac{ 5 }{ x+8 }\]
\[-2*(x+8)=5\] \[(x+8)=\frac{ 5 }{ -2 }\]
\[x=\frac{ 5 }{ -2 }-8\] \[x=\frac{5}{-2}-\frac{-16}{-2}\] \[x=\frac{21}{-2}\]
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