Question

Which of these equations is a linear equation in one variable?
Option 1: 2x + 5 = 14x
Option 2: 2x + 5y = 14
Option 3: 2x2 + 5 = 4
Option 4: - + 3x = 0
2​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Option 1: 2x + 5 = 14x and Option 4: 3x = 0 are Linear Equations in One variable  

Given:

Option 1: 2x + 5 = 14x   Option 2: 2x + 5y = 14

Option 3: 2x² + 5 = 4     Option 4: 3x = 0

To find:

Find which of the following is a linear equation in one variable

Solution:

Let us know about Linear Equation in One variable

Linear Equation in One variable:

• Linear equation in one variable is the basic equation which is used to represent and solve an unknown quantity.

• The linear equation is an easy way to represent a math statement and to solve it

• When a Linear Equation is graphically represented it will be a straight line.
• To write a linear equation we any variable or symbol like, a,b,c or x, y, z .. so on which represents a unknown quantities
• In general the variable 'x' is used to represent the unknown quantity in the linear equation in one variable.
• The standard form of a Linear Equation in One variable is ax+b = 0

In given options

Option 3: 2x² + 5 = 4 and Option 2: 2x + 5y = 14 can not be

Linear Equation in One variable as

In Option 3,  x has power 2 and

In Option 2, there are two variable  

Now check Option 1 and 4

Given Option 1: 2x + 5 = 14x which can simply as given below

⇒ 2x + 5 = 14x

⇒ 14x - 2x -5 = 0

⇒ 12x - 5 = 0

Which is in the form of ax + b = 0

Therefore,

Option 1: 2x + 5 = 14x is a Linear Equation in One variable

Option 4: 3x = 0 is also a Linear Equation in One variable where constant term is zero

From given options  

Option 1: 2x + 5 = 14x and Option 4: 3x = 0 are Linear Equations in One variable  

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