If (x/3 +1, y - 2/3) = (5/3, 1/3), what is the values of x and y?

Dec 3, 2017

$x = 2 \setminus \quad , \setminus \quad y = 3$

Explanation:

This can be broken up into two equations:

$\setminus \frac{x}{3} + 1 = \setminus \frac{5}{3}$

$y - \setminus \frac{2}{3} = \setminus \frac{1}{3}$

Solving the first one:

$\setminus \frac{x}{3} = \setminus \frac{2}{3}$

$\setminus \implies x = 3 \setminus \cdot \setminus \frac{2}{3}$

$\setminus \implies x = 2$

Solving the second one:

$y = \setminus \frac{2}{3} + \setminus \frac{1}{3}$

$\setminus \implies y = 3$