Question

Write each equation in standard form. Identify A, B and C.

$36.0.25y=10$

Short answer

The standard form of the given equation is $0x+y=40$and the value of A, B and C are $0,1\text{and 4}0$ respectively.

Step-by-step solution

Step 1- Given information

A linear equation $0.25y=10$.

Step 2- Concept used

The Standard form of a linear equation is:

$Ax+By=C$where, A, B and C are integers whose greatest common factor is 1.

Step 3- To find the standard form and value of A, B and C

From given information,

$\begin{array}{l}0.25y=10\\ \Rightarrow \frac{25}{100}y=10\\ \Rightarrow \frac{1}{4}y=10\\ \Rightarrow y=40\\ \Rightarrow 0x+y=40\end{array}$

The standard form of the given equation is:

$0x+y=40$

Now compare this equation by the equation $Ax+By=C$.

So, $A=0,B=1\text{and}C=40$

Hence, the standard form of the given equation is $0x+y=40$ and the value of A, B and C are $0,1\text{and 4}0$respectively.