Question

Express the following linear equation in the form of $ax + by + c = 0$ and indicate the value of $a,b$ and $c$:$3x + 5y = 12$

Hint: Transfer all the terms of the equation on one side and then compare it with $ax + by + c = 0$ and find the required values of $a,b$ and $c$.

According to the question, the given equation is $3x + 5y = 12$. This can further be written as:
$\Rightarrow 3x + 5y - 12 = 0$
This is of the form of $ax + by + c = 0$.
So, on comparison of two equations, we’ll get:
$\Rightarrow a = 3,b = 5$ and $c = - 12$.

Note: A linear equation in two variables $x$ and $y$ represents a straight line in the $x - y$ coordinate system.