What is the answer to 2/3 z=2+3/2 z-1/2 ?

The answer to 2/3 z=2+3/2 z-1/2 is z=-9/5

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2/3 z=2+3/2 z-1/2

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

z = - \frac{9}{5}

Decimal Notation

z = - 1.8

Solution steps

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

Combine the fractions

2 - \frac{1}{2} : \frac{3}{2}

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

Move

\frac{3}{2} z

to the left side

- \frac{5}{6} z = \frac{3}{2}

Multiply both sides by

6

- 5 z = 9

Divide both sides by

- 5

z = - \frac{9}{5}

x, 5 x + 3 y = 13

- 7 (t + 10) = - 6 t

2 (4 r + 6) = \frac{2}{3} (12 r + 18)

2 v - v = 11

x, f = x - y^{2} + z^{2}

What is the answer to 2/3 z=2+3/2 z-1/2 ?
The answer to 2/3 z=2+3/2 z-1/2 is z=-9/5
Solve for z: 2/3 z=2+3/2 z-1/2
The solution is z=-9/5