Question

Solve the given simultaneous equations using graphical method.

3x + 2y = 6, 5x + y = 10

Answer 1

The given equations are:

3x + 2y = 6  ...(i)

And 5x + y = 10  ...(ii)

For equation (i): 3x + 2y = 6

x	0	2
y = `(6 - 3x)/2`	3	0
(x, y)	(0, 3)	(2, 0)

For equation (ii): 5x + y = 10

x	0	2
y = 10 – 5x	10	0
(x, y)	(0, 10)	(2, 0)

The graphical representation of the two lines is shown below:

The intersection point of two equations is (2, 0).

Hence, x = 2 and y = 0