Answer
$x=1$
$y=-\frac{4}{3}$
$(1,-\frac{4}{3})$
Work Step by Step
$3x+3y = -1$ $(1)$
$4x+y=\frac{8}{3}$ $(2)$
Multiply Equation $(2)$ by 3
$3x + 3y = -1$ $(1)$
$12x + 3y = 8$ $(2)$
Subtract Equation $(1)$ from Equation $(2)$
$9x=9$
$x=1$
Substitute this to Equation $(2)$
$4(1) + y=\frac{8}{3}$
$4+y=\frac{8}{3}$
$y=\frac{8}{3}-4$
$y=-\frac{4}{3}$