Question

Which of the following is not a linear equation in one variable? *
(a) x – 2 = 9
(b) 3(x + 1) = 4(x + 4)
(c) x/2 + 1 = 11
(d) x – 3y = 13

Answer 1

Answer: B is not a linear equation because it consists y  

2

 in it. Linear equation will not contain any exponent to variables

Answer 2

x - 3y  = 13 is not a linear Equation in one variable.

Given:

4 Equations:

(a) x – 2 = 9

(b) 3(x + 1) = 4(x + 4)

(c) x/2 + 1 = 11

(d) x – 3y = 13

To Find:

Which is not a linear equation in one variable

Solution:

Linear Equation in one Variable is of form ax + b = 0  where a≠0

Linear Equation in two Variable is of form ax + by + c = 0  where √a² + b² ≠0

Step 1:

x  - 2 = 9

=> x - 11 = 0

Hence Linear Equation in one Variable

Step 2:

3(x + 1) = 4(x + 4)

=>3x + 3 = 4x + 16

=> 0 = x + 13

=> x + 13 = 0

Hence Linear Equation in one Variable

Step 3:

x/2 + 1 = 11

=> x/2 = 10

=> x = 20

=> x -20 = 0

Hence Linear Equation in one Variable

Step 4:

x - 3y  = 13

=> x - 3y - 13 = 0

Hence Linear Equation in two Variables ( x and y)

Hence, x - 3y  = 13 is not a linear Equation in one variable.

Correct option is d) x - 3y = 13