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Q.

Is it true that standard form of linear Equation are ax+b=0  , a≠0   and b is a constant term.


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a

True

b

False 

answer is A.

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Detailed Solution

We are asked to give the standard form of a linear equation of one variable.
Here we can see that the name suggests that the equation has one variable and it should be linear.
We know that the linear equation of one variable is an equation having only one variable in the equation and the power of that variable should be one because of linearity.
By using the above condition we can have the standard form of the linear equation as
⇒ax+b=0  
constants and a ≠ 0
Now, let us find the solution to this standard form of an equation.
Now, let us subtract the equation with b on both sides then we get
⇒ax+b−b=0−b ⇒ax=−b  
Now, by dividing the above equation with ‘a’ we get
⇒ ax a = −b a ⇒x= −b a  
Therefore we can conclude that the standard form of linear equation of one variable is given as
⇒ax+b=0  
Where, a, b
are constants and a≠0
Also we can conclude that the solution of that standard form of linear equation of one variable is given as x= −b a  .
Hence, the given statement is false.
 
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