Final answer:
Without complete equations, we cannot solve for y. Instead, we generally use the slope-intercept form to compare slopes of opposite sides of a parallelogram to ensure they are equal.
Step-by-step explanation:
To solve for the value of y that would indicate PQRS is a parallelogram using the given system of equations, we first need the full equations. Without the full equations or additional context, directly solving for y is not possible. However, the general approach to verify PQRS as a parallelogram would involve proving that opposite sides are parallel (and thus their slopes are equal) or that opposite sides are congruent. We could use the slope-intercept form (y = mx + b), where 'm' is the slope and 'b' is the y-intercept, to compare the relevant equations. If PQRS is a parallelogram, equations of opposite sides should have the same slope 'm'.
For example, if 3x + 2y = k1 and 4x + y = k2 were equations of opposite sides, where k1 and k2 are constants, you could solve the system to find the slopes are equal. This would involve rewriting both equations in the slope-intercept form to isolate y and then comparing the slopes. However, since the values of k1 and k2 (the constants for the equations of the lines) are not provided, we cannot proceed further without additional information.