For the equation: 3 z + 7 2 = 5 2 , ' z ' is equal to ____. Options: A . &nbsp13 B . &nbsp−13 C . &nbsp−23 D . &nbsp23

Answer: Option B : B 3 z + 7 2 = 5 2 6 z + 7 2 = 5 2 (by taking the LCM) 6 z + 7 2 × 2 = 5 2 × 2 6 z + 7 = 5 6 z + 7 − 7 = 5 − 7 6 z = − 2 6 z 6 = − 2 6 ∴ z = − 1 3

For the equation: 3z+72 = 52, 'z' is equal to ___

Question

For the equation:

3 z + \frac{7}{2}

\frac{5}{2}

, '

z

' is equal to ____.

Options:

A . 13

B . −13

C . −23

D . 23

Answer: Option B
:
B

3 z + \frac{7}{2} = \frac{5}{2}

\frac{6 z + 7}{2} = \frac{5}{2}

(by taking the LCM)

\frac{6 z + 7}{2} \times 2 = \frac{5}{2} \times 2

6 z + 7 = 5

6 z + 7 - 7 = 5 - 7

6 z = - 2

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

∴ z = \frac{- 1}{3}

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