Question

Which of the following can be considered as a linear equation in one variable as well as in two variables?

(a) 3x = 12

(b) 4y = 12

(c) both (a) and (b)

(d) none of (a) and (b)​

Answer 1

Answer:

both a and b

hope so helpful

Answer 2

Both the equations 3x=12 and 4y = 12 can be considered as a linear equations in one variable as well as in two variables

Given:

• Equations
• 3x = 12
• 4y = 12

To Find:

• Which of given equations can be considered as a linear equation in one variable as well as in two variables

Solution:

• Linear Equations has degree 1.
• Linear equation in one variable where there is only one variable and degree is 1
• Linear equation in two variable where there are two variables and degree is 1
• Linear Equation in 2 variables  ax + by  = c  where a² + b² ≠ 0

Step 1:

3x = 12

Degree is 1 , variable is  1 , x

Hence this is linear equation in one variable

This can be written as

3x + 0.y = 12

Hence linear Equation in two variables

Step 2:

4y = 12

Degree is 1 , variable is  1 , x

Hence this is linear equation in one variable

This can be written as

0.x +4y = 12

Hence linear Equation in two variables

Conclusion:

So both the Equations can be Which of the following can be considered as a linear equation in one variable as well as in two variables

Correct option is c) both (a) and (b)