Question

If x+y= 3and 2x+y=5:solve the equation in graphical method.​

Answer 1

Answer:

x+y=7 ----- (1)

2x−3y=9 ----- (2)

From equation (1)

y=7−x ------ (3)

Assume the value of x=5,6 and put those values in equation (3)

If x=5,y=75=2

If x=6,y=7−6=1

On the above basis, the following points are:

X 5 6

Y 2 1

Now plotting (5, 2), (6, 1) and joining them, we get a straight line.

From equation (2),

2x−3y=9

y=

3

2x−9

------ (4)

Assume the value of x=0,6 and put those values in equation (3)

If $$x = 0, y =\frac{2x-9}{3} = \frac{2(0)-9}{3}=\frac{-9}{3} = - 3$$

If x=6,y=

3

2(6)−9

=

3

12−9

=

3

3

=1

Now table the following points:

X 0 6

Y -3 1

Plotting (0, -3), (6, 1) and joining them, we get another straight line.

These lines intersect at the point (6, 1) and therefore the solution of the equation is x=6,y=1 (see fig.)

solution