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

The answer to (z+5)/2 =(1-z)/4 is z=-3

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(z+5)/2 =(1-z)/4

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

z = - 3

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(z + 5) \cdot 4 = 2 (1 - z)

Expand

(z + 5) \cdot 4 : 4 z + 20

Expand

2 (1 - z) : 2 - 2 z

4 z + 20 = 2 - 2 z

Move

20

to the right side

4 z = - 2 z - 18

Move

2 z

to the left side

6 z = - 18

Divide both sides by

6

z = - 3

x, 8 x - 5 y = - 5

x, 5 x - 3 y = 13

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

5 z - 17 = 13

5 x + 2 = 9 x + 4