What is the answer to 3/(t-2)+9/(2-t)=12 ?

The answer to 3/(t-2)+9/(2-t)=12 is t= 3/2

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3/(t-2)+9/(2-t)=12

\frac{3}{t - 2} + \frac{9}{2 - t} = 12

t = \frac{3}{2}

Solution steps

\frac{3}{t - 2} + \frac{9}{2 - t} = 12

Multiply by LCM

3 (- t + 2) + 9 (t - 2) = 12 (t - 2) (- t + 2)

Solve

3 (- t + 2) + 9 (t - 2) = 12 (t - 2) (- t + 2) : t = \frac{3}{2}, t = 2

t = \frac{3}{2}, t = 2

Verify Solutions

Find undefined (singularity) points:

t = 2

Since the equation is undefined for:

2

t = \frac{3}{2}

1 + \frac{2}{3 k} = \frac{4}{k}

\frac{7 x - 3}{x ^{2} + 9} = 1

a, \frac{a + b}{a - 3 b} = 5

- \frac{8}{x + 3} = 0

\frac{8}{x} = \frac{12}{x + 20}

What is the answer to 3/(t-2)+9/(2-t)=12 ?
The answer to 3/(t-2)+9/(2-t)=12 is t= 3/2
Solve for t: 3/(t-2)+9/(2-t)=12
The solution is t= 3/2