Zalika thinks of a number. She subtracts 6 then multiplies the result by 5. The answer is the same a

Discussion in 'Calculator Requests' started by math_celebrity, Sep 8, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Zalika thinks of a number. She subtracts 6 then multiplies the result by 5. The answer is the same as subtracting 5 from the number then multiplying by 4.

    The phrase a number means an arbitrary variable, let's call it x. We're given two expressions in relation to this number (x):

    She subtracts 6 then multiplies the result by 5
    • Subtract 6: x - 6
    • Multiply the result by 5: 5(x - 6)
    She subtracts 5 from the number then multiplying by 4
    • Subtract 6: x - 5
    • Multiply the result by 5: 4(x - 5)
    Finally, the expression is the same as means an equation, so we set the first expression equal to the second expression to make the following equation:
    5(x - 6) = 4(x - 5)

    Now, let's solve the equation for x. To do this, we type this equation into our search engine and we get:
    x = 10
     

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