Answer
$(2,2.5)$
Work Step by Step
Here, we have $0.5x+3.2y=9.0$ ...(1)
and $0.2x-1.6y=-3.6$ ...(2)
Re-arrange the second equation as:
$x=[ 0.2x-1.6y=-3.6] \times 5 \implies x=8y-18$
Now, plug $x=\dfrac{1}{3}+\dfrac{2}{3} y$ into the first equation.
$0.5( 8y-18)+3.2y=9.0$
$4y-9+3.2y=9.0$
This gives $ 7.2y=18 \implies y=2.5$
Use the $y$ value and the equation above to solve for $x$:
$ x=8(2.5)-18=2$
Hence, $(x,y)=(2,2.5)$
