Solve the following equations graphically:(i)2x + 3y = 4(ii)x - y + 3 = 0
Solve the following equations graphically:(i)2x + 3y = 4(ii)x - y + 3 = 0

2x + 3y = 4

x - y + 3 = 0

Solution:

Given,

2x + 3y = 4……. (i)

x - y + 3 = 0……. (ii)

For equation (i),

⇒ y = (4 - 2x) /3

When x = -1, we have y = (4 - 2(-1))/3 = 2

When x = 2, we have y = (4 - 2(2))/3 = 0

Thus we have the following table giving points on the line <strong>2x + 3y = 4

x-12
y20

For equation (ii),

We solve for y:

⇒ y = (x + 3)

So, when x = 0

y = ( 0 + 3) = 3

And, when x = 1

⇒ y = ( 1 + 3) = 4

Thus we have the following table giving points on the line <strong>x - y + 3 = 0

x01
y34

Graph of the equations (i) and (ii) is as below:

Clearly the two lines intersect at a single point P(-1, 2)

Hence, x= -1 and y = 2