A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

Check which of the following are solutions of the equation x - 2y = 4 and which are not:
(i) (0, 2)
(ii) (2, 0)
(iii) (4, 0)
(iv) (√2, 4√2)
(v) (1, 1)

Solution:

Given: Linear Equation x - 2y = 4

We can substitute the values in the given equation and can check whether LHS is equal to RHS or not.

if LHS = RHS then it is a solution for the given equation. 

x - 2y = 4  ---  Equation (1)

i) Consider (0, 2)

By Substituting x = 0 and y = 2 in the given Equation (1)

x - 2y = 4

0 - 2(2) = 4

0 - 4 = 4

- 4 ≠  4

L.H .S ≠ R.H .S

Therefore, (0, 2) is not a solution to this equation.

ii) Consider (2, 0)

By Substituting, x = 2 and y = 0 in the given Equation (1),

x - 2y = 4

2 - 2(0) = 4

2 - 0 = 4

2 ≠ 4

L.H .S ≠ R.H .S

Therefore, (2, 0) is not a solution to this equation.

iii) (4, 0)

By Substituting, x = 4 and y = 0 in the given Equation (1)

x - 2y = 4

4 - 2(0) = 4

4 - 0 = 4

4 = 4

L.H .S = R.H .S

Therefore, (4, 0) is a solution to this equation.

iv) (√2, 4√2)

By Substituting, x = √2 and y = 4√2 in the given Equation (1)

x - 2y = 4

√2 - 8√2 = 4

-7√2 ≠ 4

L.H .S ≠ R.H .S

Therefore, (√2, 4√2) is not a solution to this equation.

v) (1, 1)

By Substituting, x = 1 and y = 1 in the given Equation (1)

x - 2y = 4

1- 2 (1) = 4

1 - 2 = 4

-1 ≠ 4

L.H .S ≠ R.H .S

Therefore, (1, 1) is not a solution to this equation.

☛ Check: NCERT Solutions Class 9 Maths Chapter 4

Video Solution:

Check which of the following are solutions of the equation x - 2y = 4 and which are not: (i) (0, 2) (ii) (2, 0) (iii) (4, 0) (iv) (√2, 4√2) (v) (1, 1)

NCERT Solutions Class 9 Maths Chapter 4 Exercise 4.2 Question 3

Summary:

The solution of the equation x - 2y = 4 is (4, 0) whereas (0, 2), (2, 0), (√2, 4√2) and (1, 1) are not solutions of this equation since  for these values of x and y LHS  ≠ RHS.

☛ Related Questions:

Math worksheets and
visual curriculum