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 Question from kanesh, a student: p/2+q/3=3 p/4+2q/3=3

Hi,

I think it is the fractions that may be causing you difficulties. In the first equation

$\frac{p}{2} + \frac{q}{3} = 3$

the denominators are 2 and 3. The number 6 is a multiple of both 2 and 3 so multiply both sides of the first equation by 6 and simplify. This will give you a new equation, equivalent to your first equation but with no fractions.

For the second equation

$\frac{p}{4} + \frac{2q}{3}=3$

what is a number that is a multiple of both 3 and 4. Multiply both sides by this number to obtain a new equation with no fractions.

Solve the resulting two equations. Make sure you verify your answer.

Penny

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