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1 November, 01:32

Given a+b=7 and a-b=3, find: 3a:3b

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  1. 1 November, 01:40
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    Answer & Step-by-step explanation:

    We are given two equations ...

    a + b = 7

    a - b = 3

    We are asked to find 3a : 3b. In order to find the value of a and b, we have to rearrange one of the equations so it will be easier to find the values of the variables. Let's rearrange the second equation.

    a - b = 3 → a = 3 + b

    Now that we have an equation that shows the value of a, we can use this equation and plug it into the first equation.

    a + b = 7

    a = 3 + b

    (3 + b) + b = 7

    3 + 2b = 7

    2b = 4

    b = 2

    We have the value of b. Now, we have to find the value of a by plugging b into the second equation.

    a - b = 3

    b = 2

    a - 2 = 3

    a = 5

    Now that we have the values of both variables, we can plug them into (3a:3b)

    3a : 3b

    3 (5) : 3 (2)

    15 : 6

    5/2 or 2.5

    So, 3a : 3b equals 5/2 or 2.5
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