19=aa+24

Rewrite the equation as aa+24=19.

aa+24=19

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

a⋅9=(a+24)⋅1

Move 9 to the left of a.

9a=(a+24)⋅1

Multiply a+24 by 1.

9a=a+24

Move all terms containing a to the left side of the equation.

Subtract a from both sides of the equation.

9a-a=24

Subtract a from 9a.

8a=24

8a=24

Divide each term by 8 and simplify.

Divide each term in 8a=24 by 8.

8a8=248

Cancel the common factor of 8.

Cancel the common factor.

8a8=248

Divide a by 1.

a=248

a=248

Divide 24 by 8.

a=3

a=3

a=3

Solve for a 1/9=a/(a+24)