Higher June 2019 Paper 1 Q10

10 The graphs with equations \(3y + 2x = \dfrac{1}{2}\) and \(2y - 3x = -\dfrac{113}{12}\) have been drawn on the grid below.

Grid with x from -1 to 3 and y from -3 to 1 showing two straight lines: one with negative gradient crossing the y-axis just above 0, one with positive gradient; they intersect at about (2.25, -1.33)

Using the graphs, find estimates of the solutions of the simultaneous equations

\[3y + 2x = \dfrac{1}{2}\]\[2y - 3x = -\dfrac{113}{12}\]

(2)