What is the answer to 10=(2a(5)+3(6))/(2a) ?

The answer to 10=(2a(5)+3(6))/(2a) is a= 9/5

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10=(2a(5)+3(6))/(2a)

10 = \frac{2 a ( 5 ) + 3 ( 6 )}{2 a}

a = \frac{9}{5}

Decimal Notation

a = 1.8

Solution steps

10 = \frac{2 a ( 5 ) + 3 ( 6 )}{2 a}

Simplify

\frac{2 a ( 5 ) + 3 ( 6 )}{2 a} : \frac{5 a + 9}{a}

10 = \frac{5 a + 9}{a}

Multiply both sides by

a

10 a = 5 a + 9

Move

5 a

to the left side

5 a = 9

Divide both sides by

5

a = \frac{9}{5}

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = \frac{9}{5}

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

441 y^{- 4} - 58 y^{- 2} + 1 = 0

4 x - \frac{4000}{x ^{2}} = 0

\frac{4}{3} = \frac{2 + x}{x}

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

What is the answer to 10=(2a(5)+3(6))/(2a) ?
The answer to 10=(2a(5)+3(6))/(2a) is a= 9/5
Solve for a: 10=(2a(5)+3(6))/(2a)
The solution is a= 9/5