Solve the following pairs of linear equations, graphically.2x-3y=-6 and x-y2=1.

Given,

2 x - 3 y = - 6

\Rightarrow y = \frac{2 x}{3} + 2

.
Substituting different values of

x

to get corresponding values of

y

, we get,

(0, 2), (3, 4), (6, 6), (- 3, 0)

.
Plotting these points on the graph, we get the graph of the equation,

2 x - 3 y = - 6

Similarly, given second equation,

x - \frac{y}{2} = 1

\Rightarrow y = 2 (x - 1)

Substituting different values of

x

to get corresponding values of

y

, we get

(1, 0), (0, - 2), (2, 2), (- 1, - 4), (3, 4)

.
Plotting these points on the graph, we get the graph of the equation,

y = 2 (x - 1)

The point of intersection of the graphs of the lines is the solution of the equations which is

(3, 4)

.
Hence, the correct option is 4.

Solve the following pairs of linear equations, graphically. $2 x - 3 y = - 6$ and $x - \frac{y}{2} = 1$ .