Question

Z-​4/​4+​8= z + 9, z - 3, z - 7, z + 7

Answer 1

The values of the expressions are -17/3, -29/3 and 13/3

How to solve the expressions?

The equation is given as:

z-​4/​4+​8= z + 9

Rewrite properly as

$\frac{z-4}{4}+8= z + 9$

Subtract 8 from both sides

$\frac{z-4}{4}= z + 1$

Multiply through by 4

z - 4 = 4z + 4

Evaluate the like terms

3z = -8

Divide by 3

z = -8/3

Substitute z = -8/3 in z - 3, z - 7 and z + 7

z - 3 = -8/3 - 3 = -17/3

z - 7 =  -8/3 - 7 = -29/3

z + 7 =  -8/3 + 7 = 13/3

Hence, the values of the expressions are -17/3, -29/3 and 13/3

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