Answer
x=5, y=24
Work Step by Step
All three proportions are equal. Look at only the first two to solve for x:
$\frac{x}{6}$=$\frac{x+10}{18}$
Cross Multiply:
18x=6(x+10)
18x=6x+60
12x=60
x=5
Use the last two proportions substituting 5 in for x to solve for y
$\frac{x+10}{18}$=$\frac{4x}{y}$
$\frac{5+10}{18}$=$\frac{4(5)}{y}$
$\frac{15}{18}$=$\frac{20}{y}$
Cross Multiply:
15y=18(20)
15y=360
y=24