Answer
$$y=-1,\:x=3$$
Work Step by Step
Solving the system of equations using elimination, we find:
$$ \begin{bmatrix}2x+\frac{4}{3}y=\frac{14}{3}\\ 2x+\frac{9}{4}y=\frac{15}{4}\end{bmatrix} \\ \frac{11}{12}y=-\frac{11}{12}\\ y=-1,\:x=3$$
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