What is the answer to (21)/(a+2)= 3/(a-1) ?

The answer to (21)/(a+2)= 3/(a-1) is a= 3/2

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(21)/(a+2)= 3/(a-1)

\frac{21}{a + 2} = \frac{3}{a - 1}

a = \frac{3}{2}

Decimal

a = 1.5

Solution steps

\frac{21}{a + 2} = \frac{3}{a - 1}

Cross multiply

21 a - 21 = 3 a + 6

Move

21

to the right side

21 a = 3 a + 27

Move

3 a

to the left side

18 a = 27

Divide both sides by

18

a = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

a = - 2, a = 1

Combine undefined points with solutions:

a = \frac{3}{2}

\frac{x + 2}{x ^{2} - 3 x} = 0

- 3 = \frac{2 x - 1}{1 - 3 x}

x - \frac{3 x + 5}{x + 1} = \frac{2 x}{x + 1}

\frac{3 x + 25}{x + 7} - 5 = \frac{3}{x}

\frac{x + 3}{- 4 x} = \frac{x - 1}{- 4}

What is the answer to (21)/(a+2)= 3/(a-1) ?
The answer to (21)/(a+2)= 3/(a-1) is a= 3/2
Solve for a: (21)/(a+2)= 3/(a-1)
The solution is a= 3/2