Question

Solve the following equations graphically :
2x - 6y + 10 = 0
3x - 9y + 25 = 0

Answer 1

2x - 6y + 10 = 0
3x - 9y + 25 = 0
2x - 6y + 10 = 0 _________(1)
3x - 9y + 25 = 0 _________(2)

2x - 6y + 10 = 0
⇒ x = `(6y - 10)/(2)`
= 3y - 5
Corresponding values of x and y can be tabulated as :

x	-5	-2	1
y	0	1	2

Plotting points (-5, 0),(-2, 1), (1, 2) and joining them, we get a line l₁ which is the graph of the equation (1).
Again, 3x - 9y + 25 = 0

⇒ x = `(9y - 25)/(3)`
Corresponding values of x and y can be tabulated as :

x	0	`(-25)/(3)` = 8.33
y	`(25)/(9)` =2.77	0

Plotting points `(0, 25/9), ((-25)/3, 0)` and joining them, we get a line l₂ which is the graph of the equation (2).

The line l₁ and l₂ do not intersect each other.
Thus, the given equations do not have any solution.