Question 9
$3 (5 z - 7) - 2 (9 z - 11) = 4 (8 z - 13) - 17$

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Solution

$3 (5 z - 7) - 2 (9 z - 11) = 4 (8 z - 13) - 17 \Rightarrow 15 z - 21 - 18 z + 22 = 32 Z - 52 - 17$
$\Rightarrow - 3 z + 1 = 32 z - 69 \Rightarrow - 3 z - 32 z = - 69 - 1$
$\Rightarrow - 35 z = - 70$
$z = 2$
To check:
$3 (5 z - 7) - 2 (9 z - 11) = 4 (8 z - 13) - 17$
$\Rightarrow 3 (5 \times 2 - 7) - 2 (9 \times 2 - 11) = 4 (8 \times 2 - 13) - 17$
$\Rightarrow 3 (10 - 7) - 2 (18 - 11) = 4 (16 - 13) - 17$
$\Rightarrow 3 \times 3 - 2 \times 7 = 4 \times 3 - 17 \Rightarrow 9 - 14 = 12 - 17$
$\Rightarrow - 5 = - 5$
$\Rightarrow L . H . S . = R . H . S$
Therefore, it is correct.

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Similar questions

Solve the linear equation: $3 (5 z - 7) - 2 (9 z - 11) = 4 (8 z - 13) - 17$

Simplify and solve the following linear equation

3(5z_7)_2(9z_11)=4(8z_13)_17

3 (5 z - 7) - 2 (9 z - 11) = 4 (8 z - 13) - 17

3(5z-7)-2(9z-11)=4(8z-13)-17

Solve this equation.

3 (5 z - 7) - 2 (9 z - 11) = 4 (8 z - 13) - 17

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