Q31. - Algebra 2

Question

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

$5y=10x-25$

Step-by-Step Solution

Answer

The standard form of the given equation is $-2x+y=-5$ and the value of A, B and C are $-2,1\text{ and -5}$ respectively.

Step 1- Given information

A linear equation $5y=10x-25$.

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,

$\begin{array}{l}5y=10x-25\\ \Rightarrow y=2x-5\end{array}$

The standard form of the given equation is:

$-2x+y=-5$

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

So, $A=-2,B=1\text{ and }C=-5$

Hence, the standard form of the given equation is $-2x+y=-5$ and the value of A, B and C are $-2,1\text{ and -5}$ respectively.