Question

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

$4x=10y+6$

Short answer

The required values are $A=4,B=-10,C=6$.

Step-by-step solution

– Standard form of a linear equation.

The standard form of a linear equation is $Ax+By=C$, where $A\ge 0,A$and B are not both zero.

– Rewrite the given linear equation in the standard form.

The given equation is:

$4x=10y+6$

Subtract 10y from both sides.

$\begin{array}{l}4x-10y=10y+6-10y\\ 4x-10y=6\end{array}$

– Find the required values.

Now compare the equation $4x-10y=6$with the standard form of the linear equation $Ax+By=C$to find the values of $A,B,C$.

$\begin{array}{c}A=4\\ B=-10\\ C=6\end{array}$

Thus, the required values are $A=4,B=-10,C=6$.