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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 = 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 = 6


C

2x = 3x + 4


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 eliminating "3b" on 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 linear but have two variables.


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