Q7. - Algebra 2

Question

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

 

$4x=10y+6$

Step-by-Step Solution

Answer

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

Step 1 – 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.

Step 2 – Rewrite the given linear equation in the standard form.

The given equation is:

$4x=10y+6$

Subtract 10y from both sides.

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

Step 3 – 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 $A=4,B=-10,C=6$.