Question

The question ( Talking about no. 1 only ) was to express the equations in the form of ax + by + c . Also , it was asked to find out the values of a , b and c . Please somebody explain me why are the answers multiplied on both sides ? Does this mean that we cannot have the values of the constants as whole numbers ?


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Answer 1

I am assuming your question is about the variables, if I am wrong please let me know. Thanks for your request.

Important!

• Term

→ A term is each value that is connected by addition or subtraction.

• Coefficient

→ A coefficient is a multiplier for a variable. It is connected with the variable by multiplication or division.

• Constant

→ A constant is a term that is not affected by variables.

Solution!

Let's see what actually are $a,b,c$. Here, $a,b$ are multiplied to the variables $x,y$ so they are coefficients. $c$ is not affected by variables since it does not have a relation with variables. It is a constant.

• $a$ is a coefficient of $x$.
• $b$ is a coefficient of $y$.
• $c$ is a constant.

So, when the question asks us to find $a,b,c$ in $ax+by+c=0$, it is asking us to differentiate between variables, coefficients, and constants.

Remember!

A coefficient affects a variable, while a constant never does.

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