What is the answer to 5a=((7a-4))/((a-3)) ?

The answer to 5a=((7a-4))/((a-3)) is a=(11+sqrt(101))/5 ,a=(11-sqrt(101))/5

Solve for a: 5a=((7a-4))/((a-3))

The solution is a=(11+sqrt(101))/5 ,a=(11-sqrt(101))/5

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5 a = \frac{( 7 a - 4 )}{( a - 3 )}

a = \frac{11 + 101}{5}, a = \frac{11 - 101}{5}

Decimal Notation

a = 4.20997 \dots, a = 0.19002 \dots

Solution steps

5 a = \frac{( 7 a - 4 )}{( a - 3 )}

Simplify

\frac{( 7 a - 4 )}{( a - 3 )} : \frac{7 a - 4}{a - 3}

5 a = \frac{7 a - 4}{a - 3}

Multiply both sides by

a - 3

5 a (a - 3) = 7 a - 4

Solve

5 a (a - 3) = 7 a - 4 : a = \frac{11 + 101}{5}, a = \frac{11 - 101}{5}

a = \frac{11 + 101}{5}, a = \frac{11 - 101}{5}

Verify Solutions

Find undefined (singularity) points:

a = 3

Combine undefined points with solutions:

a = \frac{11 + 101}{5}, a = \frac{11 - 101}{5}

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

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

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

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

\frac{x + 4}{x - 3} = 0

What is the answer to 5a=((7a-4))/((a-3)) ?
The answer to 5a=((7a-4))/((a-3)) is a=(11+sqrt(101))/5 ,a=(11-sqrt(101))/5
Solve for a: 5a=((7a-4))/((a-3))
The solution is a=(11+sqrt(101))/5 ,a=(11-sqrt(101))/5