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

The answer to (z+4)/3 =(z-1)/2 is z=11

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

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

z = 11

Solution steps

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

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(z + 4) \cdot 2 = 3 (z - 1)

Expand

(z + 4) \cdot 2 : 2 z + 8

Expand

3 (z - 1) : 3 z - 3

2 z + 8 = 3 z - 3

Move

8

to the right side

2 z = 3 z - 11

Move

3 z

to the left side

- z = - 11

Divide both sides by

- 1

z = 11

- ∣ 2 x - 1 ∣ \leq - 13

x - 9 \geq x^{2} + 2 x - 3

5 x^{2} - 3 x = 3

x + x = 10

p^{2} - 9 p = 0