Find the solution of the following system of equations: 

2x + 3y = 8; x + 4y = 9

The given equations are: 

2x + 3y = 8       .....(1) 

x + 4y = 9         .....(2) 

Equation (1) can be written as: $y=\frac{8-2x}{3}$ 

The table for (1) is:  

Equation (2) can be written as: $y=\frac{9-x}{4}$ 

The table for (2) is: 

The line representing (1) is obtained by plotting and joining the points (4, 0), (1, 2), and (−2, 4). 

The line representing (2) is obtained by plotting and joining the points (5, 1), (1, 2), and (−3, 3). 

So, the solution for the above system of equations is (1,2).