Answer:
x=6 y=12
Step-by-step explanation:
first, you have to make one of the coefficients of the variables to match up but with opposite signs. in this problem, i will start by eliminating the y term
7/2(7/4x+1/2y=33/2) -> 49/8x+7/4y=231/4
49/8 is the same as 98/16, which i will use so there is a common denominator. 231/4 is the same as 462/8, which i use for the same reason
98/16x+7/4y=462/8
9/16x-7/4y=-141/8 (eliminate the y factor by adding the equations together)
107/16x=321/8 (divide these by multiplying by the reciprocal)
x=(321/8)(16/107) (multiply)
x=642/107 (simplify)
x=6
next, plug in this x factor in an equation to get the y factor.
7/4(6)+1/2y=33/2 (multiply)
21/2+1/2y=33/2 (subtract)
1/2y=6 (multiply)
y=12
hope this helps!
