Question

Examine whether the point (2, 5) lies on the graph of the equation 3x $-$ y = 1

Answer 1

To check whether (2, 5) lies on the line 3x $-$ y = 1, substitute x = 2 and y = 5 in the equation.

$$\begin{gathered} \mathrm{LHS}=3x-y \\ =3\times 2-5 \\ =6-5 \\ =1 \\ =\mathrm{RHS} \\ \therefore \left(2,5\right)\mathrm{lies}\mathrm{on}\mathrm{the}\mathrm{line}3x-y=1. \end{gathered}$$