Q27. - Algebra 2

Question

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

 

$y=-3x+4$

Step-by-Step Solution

Answer

The required values are $A=3, B=1, C=4$.

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:

$y=-3x+4$

Add 3x on both sides.

$\begin{array}{c}y+3x=-3x+4+3x\\ y+3x=4\\ 3x+y=4\end{array}$

Step 3 – Find the required values.

Now compare the equation $3x+y=4$ with the standard form of the linear equation $Ax+By=C$ to find the values of $A, B, C$.

$\begin{array}{c}A=3\\ B=1\\ C=4\end{array}$

Thus, the required values are $A=3, B=1, C=4$.