What is the answer to (a-7)/(1-a)=-5/9 ?

The answer to (a-7)/(1-a)=-5/9 is a= 29/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(a-7)/(1-a)=-5/9

\frac{a - 7}{1 - a} = - \frac{5}{9}

a = \frac{29}{2}

Decimal Notation

a = 14.5

Solution steps

\frac{a - 7}{1 - a} = - \frac{5}{9}

Cross multiply

9 a - 63 = - 5 + 5 a

Move

63

to the right side

9 a = 5 a + 58

Move

5 a

to the left side

4 a = 58

Divide both sides by

4

a = \frac{29}{2}

Verify Solutions

Find undefined (singularity) points:

a = 1

Combine undefined points with solutions:

a = \frac{29}{2}

\frac{3 - x}{4 x - 3} = \frac{1}{5}

5 = \frac{2}{3 ( 8 x - 6 )}

\frac{7}{2 x} = 3

\frac{X - 465}{X} = \frac{2}{5}

x + 3 (x - 2) = \frac{3 ( 2 x - 3 )}{x}

What is the answer to (a-7)/(1-a)=-5/9 ?
The answer to (a-7)/(1-a)=-5/9 is a= 29/2
Solve for a: (a-7)/(1-a)=-5/9
The solution is a= 29/2