What is the answer to 2/5 =(2a-3)/(4a-5) ?

The answer to 2/5 =(2a-3)/(4a-5) is a= 5/2

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2/5 =(2a-3)/(4a-5)

\frac{2}{5} = \frac{2 a - 3}{4 a - 5}

a = \frac{5}{2}

Decimal

a = 2.5

Solution steps

\frac{2}{5} = \frac{2 a - 3}{4 a - 5}

Cross multiply

8 a - 10 = 10 a - 15

Move

10

to the right side

8 a = 10 a - 5

Move

10 a

to the left side

- 2 a = - 5

Divide both sides by

- 2

a = \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

a = \frac{5}{4}

Combine undefined points with solutions:

a = \frac{5}{2}

3 = \frac{6}{2 x ^{2} - x - 4}

\frac{6}{y - 3} - \frac{6}{y} = - \frac{9}{y}

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

- \frac{2}{x} = 0

\frac{6}{y - 3} - \frac{6}{y} = \frac{- 9}{y}

What is the answer to 2/5 =(2a-3)/(4a-5) ?
The answer to 2/5 =(2a-3)/(4a-5) is a= 5/2
Solve for a: 2/5 =(2a-3)/(4a-5)
The solution is a= 5/2