What is the answer to (11d+2)/(d-8)=-3/2 ?

The answer to (11d+2)/(d-8)=-3/2 is d= 4/5

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(11d+2)/(d-8)=-3/2

\frac{11 d + 2}{d - 8} = - \frac{3}{2}

d = \frac{4}{5}

Decimal Notation

d = 0.8

Solution steps

\frac{11 d + 2}{d - 8} = - \frac{3}{2}

Cross multiply

22 d + 4 = - 3 d + 24

Move

4

to the right side

22 d = - 3 d + 20

Move

3 d

to the left side

25 d = 20

Divide both sides by

25

d = \frac{4}{5}

Verify Solutions

Find undefined (singularity) points:

d = 8

Combine undefined points with solutions:

d = \frac{4}{5}

y, x = \frac{3 - 5 y}{2 y + 1}

\frac{4}{x} - \frac{3}{2 x} = 9

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

\frac{1}{2 x} = 5

\frac{1}{2 x} = 0

What is the answer to (11d+2)/(d-8)=-3/2 ?
The answer to (11d+2)/(d-8)=-3/2 is d= 4/5
Solve for d: (11d+2)/(d-8)=-3/2
The solution is d= 4/5