SEARCH HOME
 Math Central Quandaries & Queries
 Question from Rohan, a student: x-2/3 + y - 1/4 = 13/12 2-x/2 + 3 + y/3 = 11/6

Hi Rohan,

The way you have written the first equation it is

$x - \frac23 + y - \frac14 = \frac{13}{12}$

but I think you might mean

$\frac{x-2}{3} + \frac{y-1}{4} = \frac{13}{12}.$

You need to use parentheses to make it clear.

In any case the denominators are 3, 4 and 12 and the least common multiple of 3, 4 and 12 is 12. I suggest you multiply both sides of the equation by 12 and simplify. This will give you an equation with integer coefficients. Apply a similar technique to the second equation and then solve the two resulting equations.

Penny

Math Central is supported by the University of Regina and the Imperial Oil Foundation.