What is the answer to ((0.4z-3))/((1.5z+9))= 7/5 ?

The answer to ((0.4z-3))/((1.5z+9))= 7/5 is z=-9.17647…

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((0.4z-3))/((1.5z+9))= 7/5

\frac{( 0.4 z - 3 )}{( 1.5 z + 9 )} = \frac{7}{5}

z = - 9.17647 \dots

Solution steps

\frac{( 0.4 z - 3 )}{( 1.5 z + 9 )} = \frac{7}{5}

Cross multiply

2 z - 15 = 10.5 z + 63

Move

15

to the right side

2 z = 10.5 z + 78

Move

10.5 z

to the left side

- 8.5 z = 78

Divide both sides by

- 8.5

z = - 9.17647 \dots

Verify Solutions

Find undefined (singularity) points:

z = - 6

Combine undefined points with solutions:

z = - 9.17647 \dots

\frac{6 x - 2}{x} = 11

\frac{( x - 1 )}{( 2 x - 1 )} + \frac{( 2 x - 1 )}{( x - 1 )} = \frac{5}{2}

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

(\frac{x ^{2} + 1}{x ^{2}}) - 4 (\frac{x - 1}{x}) - 14 = 0

f (n) = \frac{w ^{n + 1}}{w ^{2 n}}

What is the answer to ((0.4z-3))/((1.5z+9))= 7/5 ?
The answer to ((0.4z-3))/((1.5z+9))= 7/5 is z=-9.17647…
Solve for z: ((0.4z-3))/((1.5z+9))= 7/5
The solution is z=-9.17647…