Solve the pair of linear equations x+ y= 4 and 2x− 3y = 3.

Plot the graphs of the given system of linear equations. 

The first equation is x + y = 4 

⇒ y = 4 − x 

The following table lists the corresponding values of x and y for the equation x + y = 4: 

The second equation is 2x − 3y = 3 $\Rightarrow y=\frac{2x-3}{3}$ 

The following table lists the corresponding values of x and y for the equation 2x − 3y = 3: 

The graph representing the two equations can be plotted as: 

As seen in the graph, the two lines intersect at (3, 1). This implies that x = 3 and y = 1 is the solution of the two equations.