Question

What does the \[A,B,C\] stand for in standard form \[Ax+By=C\]?

Answer 1

Hint: From the given question we have been asked to find what ABC stands for in standard form \[Ax+By=C\]. We will use the concept of linear equations in mathematics to solve this question. We will also use an example and we will explain the generalised or standard form very briefly. We will find the \[A,B,C\] in the example which we take and solve this question. So, we proceed with our solution as follows.

Complete step by step solution:
Generally in linear equations concept in mathematics,
The equation \[Ax+By=C\] is a generalised form (in fact the standard generalised form) for a linear equation where \[A,B,C\] are place holders for constants (the x and y variables).
Now we will discuss an example for this generalised form. So, we take the following example as follows.
The generalised form includes equations such as,
\[\Rightarrow Ax+By=C\]
\[\Rightarrow 7x+3y=98\]
\[\Rightarrow 5x+y=8\]
Here we can observe that for the above example linear equations the values of \[A,B,C\] by comparing with the standard form of linear equation \[Ax+By=C\] we get those as integers or simply some constant values.

Note: Students must have good knowledge in the concept of linear equations and their conditions. We must know the standard form of linear equations which is \[Ax+By=C\] to solve this question very clearly. We must note one important point which is generally the \[A\] should be an integer value which is not negative.