Answer:
The value of x is 2.
The value of y is [tex]\frac{7}{6}[/tex]
Step-by-step explanation:
x:
We have that:
[tex]\frac{x}{3} + 1 = \frac{5}{3}[/tex]
Multiplying everything by 3
[tex]x + 3 = 5[/tex]
[tex]x = 2[/tex]
The value of x is 2.
y:
We have that:
[tex]y - \frac{2}{3} = \frac{1}{2}[/tex]
Least common multiple between 3 and 2 is 6, which means that we multiply everything by 6.
[tex]6y - 4 = 3[/tex]
[tex]6y = 7[/tex]
[tex]y = \frac{7}{6}[/tex]
The value of y is [tex]\frac{7}{6}[/tex]