Answer
$$y=\frac{10}{3},\:x=\frac{40}{9}$$
Work Step by Step
We solve the system of equations using substitution:
$$ \frac{1}{2}\cdot \frac{4}{3}y-\frac{1}{15}y=2\\ y=\frac{10}{3} \\ x=\frac{4}{3}\cdot \frac{10}{3}\\ x=\frac{40}{9}$$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.