What is the answer to 1/4 z= 5/8 z-1+1/2 z ?

The answer to 1/4 z= 5/8 z-1+1/2 z is z= 8/7

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1/4 z= 5/8 z-1+1/2 z

\frac{1}{4} z = \frac{5}{8} z - 1 + \frac{1}{2} z

z = \frac{8}{7}

Decimal Notation

z = 1.14285 \dots

Solution steps

\frac{1}{4} z = \frac{5}{8} z - 1 + \frac{1}{2} z

Subtract

\frac{5}{8} z + \frac{1}{2} z

from both sides

\frac{1}{4} z - (\frac{5}{8} z + \frac{1}{2} z) = \frac{5}{8} z - 1 + \frac{1}{2} z - (\frac{5}{8} z + \frac{1}{2} z)

Simplify

- \frac{7}{8} z = - 1

Multiply both sides by

8

- 7 z = - 8

Divide both sides by

- 7

z = \frac{8}{7}

\frac{g}{h} = e - 10, g

12 x - 5 = 7 x

9 (- 3 q - 9) + 7 = - 2 (18 q - 17)

3.2 - 1.6 b = 9.12

0.5 - \frac{x}{0.1} = - 33.5

What is the answer to 1/4 z= 5/8 z-1+1/2 z ?
The answer to 1/4 z= 5/8 z-1+1/2 z is z= 8/7
Solve for z: 1/4 z= 5/8 z-1+1/2 z
The solution is z= 8/7