What is the answer to 1 1/2 z-2=3 1/4 z-9 ?

The answer to 1 1/2 z-2=3 1/4 z-9 is z=4

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1 1/2 z-2=3 1/4 z-9

1 \frac{1}{2} z - 2 = 3 \frac{1}{4} z - 9

z = 4

Solution steps

1 \frac{1}{2} z - 2 = 3 \frac{1}{4} z - 9

Convert mixed numbers to improper fractions:

1 \frac{1}{2} = \frac{3}{2}

\frac{3}{2} z - 2 = 3 \frac{1}{4} z - 9

Convert mixed numbers to improper fractions:

3 \frac{1}{4} = \frac{13}{4}

\frac{3}{2} z - 2 = \frac{13}{4} z - 9

Move

2

to the right side

\frac{3}{2} z = \frac{13}{4} z - 7

Move

\frac{13}{4} z

to the left side

- \frac{7}{4} z = - 7

Multiply both sides by

4

- 7 z = - 28

Divide both sides by

- 7

z = 4

x - 7 = 53

x, - 8 x + 4 y = 20

x - 7 = 20

3 \cdot x = 2

- 4 y - (- 2) y = - 4 (- 2)

What is the answer to 1 1/2 z-2=3 1/4 z-9 ?
The answer to 1 1/2 z-2=3 1/4 z-9 is z=4
Solve for z: 1 1/2 z-2=3 1/4 z-9
The solution is z=4