Draw the graph of 2x – 3y = 4. From the graph, find whether x = – 1, y = – 2 is a solution or not.

Question

Philoid · Accepted Answer

Given equation, 2x – 3y = 4

⇒ 3y = 2x – 4

When x = – 4, then,

⇒ y = – 4

When x = – 1, then,

⇒ y = – 2

When x = 2, then,

⇒ y = 0

When x = 5, then,

⇒ y = 2

Thus we have the following table,

X	– 4	– 1	2	5
Y	– 4	– 2	0	2

On plotting these points we have the following graph,

Clearly, from the graph ( – 1, – 2) is the solution of the line 2x – 3y = 4