Simplify and solve the linear equation: 3(5z – 7) – 2(9z – 11) = 4(8z – 13) – 17

Solution:

We will be applying distributive property and then transpose variables to one side and constants to another side to form a linear equation.

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

⇒ 15z - 21 - 18z + 22 = 32z - 52 - 17 [Using distributive property]

⇒ -3z + 1 = 32z - 69

⇒ -3z - 32z = -69 - 1

⇒ -35z = -70

Hence,

z = 70/35 = 2

☛ Check: Class 8 Maths NCERT Solutions Chapter 2

Video Solution:

Simplify and solve the linear equation: 3(5z – 7) – 2(9z – 11) = 4(8z – 13) – 17

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.5 Question 9

Summary:

The solution to the given equation 3(5z – 7) – 2(9z – 11) = 4(8z – 13) – 17 after simplifying is z = 2

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