Check graphically whether the pair of equations x + 3y = 6 (1) and 2x – 3y = 12 (2) is consistent. If so, solve them graphically

Solution:

A consistent pair of linear equations in two variables has only one solution

To check the pair of equations graphically, Let us find the values of x and y to plot on graphs

⇒ From equation (1)

When x = 0; y = 2 and x = 6; y = 0

⇒ From equation (2)

When x = 0; y = - 4 and x = 3; y = - 2

☛ Check: NCERT Solutions for Class 10 Maths Chapter 3

Check graphically whether the pair of equations x + 3y = 6 (1) and 2x – 3y = 12 (2) is consistent. If so, solve them graphically

Summary:

The pair of equations x + 3y = 6 and 2x - 3y = 12 is consistent and has only one solution

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