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 $c$.
Complete step-by-step answer:
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.