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Question

Which of the following equation(s) is/are linear equation(s) in one variable?


A

2x + 3y = 10

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B

4a + 3b = 3b + 6

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C

2x = 3x + 4

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D

2x + 4z = 5

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Solution

The correct options are
B

4a + 3b = 3b + 6


C

2x = 3x + 4


If the degree of an equation is one, then that equation is called a linear equation. In all the equations given, the degree of each equation is one as the highest exponent of variables in a term is one.

Equations which have only one variable or which can be reduced to equations having only one variable are known as linear equations in one variable.

Since, 4a + 3b = 3b + 6 can be reduced to a linear equation in variable "a" by subtracting "3b" from both sides, this is a linear equation in one variable.

Also, 2x = 3x + 4 is a linear equation in one variable as it has only one variable, x.

The other equations are also linear but they have two variables, so they are not linear equations in one variable.


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