Q32. - Algebra 2

Question

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

$4x=8y-12$

Step-by-Step Solution

Answer

The standard form of the given equation is $x-2y=-3$ and value of the A, B and C are $1,-2\text{ and -3}$ respectively.

Step 1- Given information

A linear equation $4x=8y-12$.

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 slandered form and value of A, B and C

From given information,

$\begin{array}{l}4x=8y-12\\ \Rightarrow x=2y-3\end{array}$

The standard form of the given equation is:

$x-2y=-3$

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

So, $A=1,B=-2\text{ and }C=-3$

Hence, the standard form of the given equation is $x-2y=-3$and value of the A, B and C are $1,-2\text{ and -3}$ respectively.