Question

Evaluate for $x$ and $y$

$\frac{3}{2}x+\frac{5}{3}y=7$

$9x-10y=14$

Answer 1

By taking LCM and rearranging equation 1, we get

$9x+10y=42$ $\left(1\right)$

Writing equation 2 as it is,

$9x-10y=14$ $\left(2\right)$

Adding $\left(1\right)$ and $\left(2\right)$ we get

$\left(1\right)$ + $\left(2\right)$: $18x$= $56$

$x$= $\frac{28}{9}$

substituting value of $x$ in $\left(1\right)$ we get

$y$=$\frac{7}{5}$