2/x + 2/y = 30
x + y = 10
If the above equations are true simultaneously, then find the value of xy.
+240 We can start off my multiplying the first equation by $xy$,
\(2y+2x=30xy \\ x + y = 15xy\)
Our second equation has the same exact left side, so our right sides are equivalent too.
\(10 = 15xy \\ \frac{10}{15} = xy \\ \frac{2}{3} = xy\)
So $xy = \frac{2}{3}$
