Question

Solve these two rational equations.
MEDAL+FAN!

Answer 1

\[\frac{ 2 }{ x+12 }=\frac{ 8 }{ x-13 }\]

and

\[12=10+\frac{ 5 }{ x+8 }\]

Answer 2

\[2(x-13)=8(x+12)\\
-2=\frac{5}{x+8}\] are two good starts

Answer 3

2(x-13)=8(x+12)
2x-26=8x+96
-26=6x+96
-122=6x
-61/3=x

Answer 4

-2(x+8)=5
-2x-16=5
-16=5+2x
-21=2x
-21/2=x

Answer 5

The first one was right, the second was wrong. :(

Answer 6

\[12=10+\frac{ 5 }{ x+8 }\]

Answer 7

\[-2=\frac{ 5 }{ x+8 }\]

Answer 8

\[-2*(x+8)=5\]


\[(x+8)=\frac{ 5 }{ -2 }\]

Answer 9

\[x=\frac{ 5 }{ -2 }-8\]

\[x=\frac{5}{-2}-\frac{-16}{-2}\]

\[x=\frac{21}{-2}\]