What is the answer to (z+2)/(z-3)= 5/(-3) ?

The answer to (z+2)/(z-3)= 5/(-3) is z= 9/8

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(z+2)/(z-3)= 5/(-3)

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

z = \frac{9}{8}

Decimal Notation

z = 1.125

Solution steps

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

Cross multiply

- 3 z - 6 = 5 z - 15

Move

6

to the right side

- 3 z = 5 z - 9

Move

5 z

to the left side

- 8 z = - 9

Divide both sides by

- 8

z = \frac{9}{8}

Verify Solutions

Find undefined (singularity) points:

z = 3

Combine undefined points with solutions:

z = \frac{9}{8}

x (x) = \frac{6}{x - 5 x - 6}

4 - \frac{3}{y + 2} = - \frac{3}{y + 3}

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

\frac{4 x}{5} = \frac{1}{3 x + 2}

- \frac{20}{( x - 2 ) ^{2}} = - 5

What is the answer to (z+2)/(z-3)= 5/(-3) ?
The answer to (z+2)/(z-3)= 5/(-3) is z= 9/8
Solve for z: (z+2)/(z-3)= 5/(-3)
The solution is z= 9/8