What is the answer to (3-z)/(z-4)= 1/2 ?

The answer to (3-z)/(z-4)= 1/2 is z= 10/3

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(3-z)/(z-4)= 1/2

\frac{3 - z}{z - 4} = \frac{1}{2}

z = \frac{10}{3}

Decimal Notation

z = 3.33333 \dots

Solution steps

\frac{3 - z}{z - 4} = \frac{1}{2}

Cross multiply

6 - 2 z = z - 4

Move

6

to the right side

- 2 z = z - 10

Move

z

to the left side

- 3 z = - 10

Divide both sides by

- 3

z = \frac{10}{3}

Verify Solutions

Find undefined (singularity) points:

z = 4

Combine undefined points with solutions:

z = \frac{10}{3}

t, \frac{x - v t}{t} = c - v

\frac{9 x}{8} - \frac{8}{9 x} = 0

\frac{9}{x - 1} = \frac{7}{x + 5}

\frac{3}{x ^{2} + 1} = 0

\frac{42}{x} = \frac{x}{9}

What is the answer to (3-z)/(z-4)= 1/2 ?
The answer to (3-z)/(z-4)= 1/2 is z= 10/3
Solve for z: (3-z)/(z-4)= 1/2
The solution is z= 10/3