Simplify and solve the following linear equations.
$ 3(5 z-7)-2(9 z-11)=4(8 z-13)-17 $.

Academic Mathematics NCERT Class 8

Given:

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

To do:

We have to solve the given linear equation.

Solution:

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

This implies,

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

$15z-21-18z+22=32z-52-17$

$-3z+1=32z-69$

$32z+3z=69+1$

$35z=70$

$z =\frac{70}{35}$

$z = 2$

The value of $z$ is $2$.

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Updated on: 10-Oct-2022

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