Answer
$(\dfrac{5}{2},-2)$
Work Step by Step
Since, we have first equation: $4x+3y=4$ and second equation: $y=2x-7$
From the first equation, we have
$4x+3(2x-7)=4$
or, $4x+6x-21=4$
or, $10x=25$
Thus, $x=\dfrac{5}{2}$
From the second equation, we have
$y=2(\dfrac{5}{2})-7$
or, $y=-2$
Hence, the solution is: $(\dfrac{5}{2},-2)$