Question

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

$x=y$

Short answer

The standard form of the equation is $x-y=0$ and $A=1, B=-1, C=0$.

Step-by-step solution

Step-1 – Apply the concept of Standard form of equation 

Any linear equation with variables xand ycan be expressed in the standard form as:

$Ax+By=C$

Where A, B, and C are all integers with greatest common factor as 1.

Step-2 – Convert the equation into standard form

Consider the given equation.

$x=y$

To convert it into standard form, subtract yon both sides of equation.

$\begin{array}{c}x=y\\ x-y=y-y\\ x-y=0\end{array}$

Thus, the standard form of the equation is $x-y=0$.

Step-3 – Identification of A, B, and C

Comparing $x-y=0$with standard form $Ax+By=C$, we get

$\begin{array}{l}A=1\\ B=-1\\ C=0\end{array}$

Hence, the standard form of the equation is $x-y=0$ and $A=1, B=-1, C=0$.