PreCalculus
posted by Anonymous .
Use substitution method to solve.
(1/2x)+(3/4y)=(1/4) and (3/4x)(1/4y)=1
Can you please help?

first, I'd get rid of those pesky fractions:
2x + 3y = 1
3x  y = 4
Now you can see that y = 3x4, so substitute that back in the 1st equation:
2x + 3(3x4) = 1
2x+9x12 = 1
11x = 11
x = 1
so, y=3x4 = 1
be sure to check that the answer fits the original equations. 
Thank you.