Example 1
Check graphically, whether the pair of equations x + 3y = 6 and 2x – 3y= 12 is consistent. If so, solve them graphically.
Let equations be
x + 3y = 6
2x – 3y = 12
Let’s draw their graphs
Putting x = 0
0 + 3y = 6
3y = 6
y = 6/3
y = 2
So, x = 0, y = 2 is a solution
i.e. (0, 2) is a solution
Putting y = 0
x + 3(0) = 6
x + 0 = 6
x = 6
So, x = 6, y = 0 is a solution
i.e. (6, 0) is a solution
Putting x = 0
2(0) − 3y = 12
0 − 3y = 12
−3y = 12
y = 12/(−3)
y = −4
So, x = 0, y = −4 is a solution
i.e. (0, −4) is a solution
Putting y = 0
2x − 3(0) = 12
2x = 12
x = 12/2
x = 6
So, x = 6, y = 0 is a solution
i.e. (6, 0) is a solution
We will plot both equations on the graph
Since the lines intersect, the given equations are consistent
And solution is (6, 0)

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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