## Precalculus (6th Edition) Blitzer

$37,29,27$
Step 1. Assume the number of students studying abroad, in thousands, in the U.K., Italy, and Spain are $x,y,z$ Step 2. Based on the given conditions, we have $\begin{cases} x=z+10\\y=z+2\\x+y+z=93 \end{cases}$ Step 3. Using the first two equations and substitution in the third equation, we have $z+10+z+2+z=93$, which gives $3z+12=93$ or $z=27$. Thus $x=37, y=29$ Step 4. The number of students studying abroad, in thousands, in the U.K., Italy, and Spain are $37,29,27$