Solving rational equations 1(9x)/(x - 2) = 62(7)/(x + 2) + (5)/(x - 2) = \frac{10x - 2}{x {}^2{ - 4} }3( x - 1)/(2x - 4) = (2x - 2)/(3x)step by step instructions please thank yo…

Question

solving rational equations 1
`(9x)/(x - 2) = 6`2
`(7)/(x + 2) + (5)/(x - 2) = \frac{10x - 2}{x {}^2{ - 4} }`3
`( x - 1)/(2x - 4) = (2x - 2)/(3x)`step by step instructions please thank you

Answer 1

the given expression is.,

`(9x)/(x-2)=6`
`\begin{gathered} 9x=6x-12 \\ 9x-6x=-12 \\ 3x=-12 \\ x=-(12)/(3) \\ x=-4 \end{gathered}`

also, the given expression is,

`(7)/(x+2)+(5)/(x-2)=(10x-2)/(x^2-4)`
`\begin{gathered} (7x-14+5x+10)/(x^2-4)=(10x-2)/(x^2-4) \\ 12x-4=10x-2 \\ 12x-10x=4-2 \\ 2x=2 \\ x=(2)/(2)=1 \\ x=1 \end{gathered}`