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Mathematics

If 7(5 - 6z) = 11(5 - 4z), then the value of z is

  1. 10

  2. 125\dfrac{12}{5}

  3. 12

  4. 187\dfrac{18}{7}

Linear Eqns One Variable

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Answer

Given:

7(5 - 6z) = 11(5 - 4z)

⇒ 35 - 42z = 55 - 44z

⇒ 44z - 42z = 55 - 35 \quad [Transposing +35 to RHS and -44z to LHS]

⇒ 2z = 20

⇒ z = 202\dfrac{20}{2}

⇒ z = 10

Hence, option 1 is the correct option.

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