Question

Solve the following equations graphically :
x - 2y = 2

`x/(2) - y` = 1

Answer 1

x - 2y = 2

`x/(2) - y` = 1

x - 2y = 2 ________(1)

`x/(2) - y` = 1 _________(2)

x - 2y = 2
⇒ x = 2 + 2y
Corresponding values of x and y can be tabulated as :

x	2	0	4
y	0	-1	1

Again, `x/(2) - y` = 1

⇒ y = `x/(2) - 1`
Corresponding values of x and y can be tabulated as :

x	0	2	4
y	-1	0	1

Plotting points (0, -1), (2, 0), (4, 1) and joining them, we get a line l₁ which is the graph for both the equation (1) and (2).

Hence, the given system of equations has infinitely many solutions.