Question

2x $-$ y $-$ 3 = 0; 4x $-$ y $-$ 5 = 0

Answer 1

$$\begin{gathered} \left(v\right)2x-y=3...\left(1\right) \\ 4x-y=5...\left(2\right) \\ y=2x-3...\left(3\right)\left(\mathrm{From}\mathrm{eq}1\right) \\ \mathrm{Substituting}\mathrm{the}\mathrm{value}\mathrm{of}y\mathrm{in}\mathrm{eq}\left(2\right),\text{we get:} \\ 4x-\left(2x-3\right)=5 \\ \Rightarrow 4x-2x+3=5 \\ \Rightarrow 2x=2 \\ \Rightarrow x=1 \\ \mathrm{Substituting}\mathrm{the}\mathrm{value}\mathrm{of}x\mathrm{in}\mathrm{eq}\left(3\right),\text{we get}: \\ y=2\times 1-3 \\ \Rightarrow y=-1 \\ \therefore x=1,y=-1\mathrm{is}\mathrm{the}\mathrm{solution}. \end{gathered}$$