Answer
$(\dfrac{11}{19},\dfrac{7}{19})$
Work Step by Step
Re-arrange the given two equations to get
$4x+10y=6$ ....(1)
$15x-10y=5$ ...(2)
After adding the above two equations, we get
or, $19x =11$
This gives: $x=\dfrac{11}{19}$
Now, $3(\dfrac{11}{19})-2y=1 \implies y=\dfrac{7}{19}$
Our solution is: $(\dfrac{11}{19},\dfrac{7}{19})$
