Use the Equal Values Method.

Set both equations equal to each other.
$2x − 3 = 4x + 1$

Get all the $x$ terms on one side of the equation.
$−2x = 4$

Divide both sides by $−2$ to solve for $x$.

$x = −2$
Substitute this value into one of the original equations to solve for $y$.

$\left(−2, −7\right)$

Follow the steps in part (a).

$\left(\frac{1}{2}, -4\right)$