Question 578790: Methods of substitution or addition. Fractions are presenting issues.
1/6x - 1/12y = -13/6 over
1/5x + 1/4y = 2
Thanks again! Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! To add or compare fractions, you express them on a common denominator that is a multiple of all the denominators.
If you were working with 1/5 and 1/4, you would use 20 as a common denominator because it is a common multiple of 4 and 5.
When fractions present issues in an equation you "eliminate denominators by multiplying both sides of the equal sign by a common multiple, to get an simpler equivalent equation --> -->
You can do something similar for the other equation, using 12 for a common multiple. --> -->
Now you have the easier system:
You could use substitution, solving one equation for y -->
and substituting the expression found for y in the other equation --> --> --> --> --> -->
Then substituting into --> -->
