Question

5x + 7y = − 2
4x + 6y = − 3

Answer 1

$$\begin{gathered} \mathrm{Given}:\hspace{0.17em}5x+7y=-2 \\ 4x+6y=-3 \\ \mathrm{Using}\mathrm{Cramer}\text{'}\mathrm{s}\mathrm{Rule},\mathrm{we}\mathrm{get} \\ D=\left|57 \\ 46\right|=30-28=2 \\ {D}_1=\left|-27 \\ -36\right|=-12+21=9 \\ {D}_2=\left|5-2 \\ 4-3\right|=-15+8=-7 \\ \mathrm{Now}, \\ x=\frac{D_1}{D}=\frac{9}{2} \\ y=\frac{D_2}{D}=\frac{-7}{2} \\ \therefore x=\frac{9}{2}\mathrm{and}y=\frac{-7}{2} \end{gathered}$$