Q31. - Algebra 2

Question

Solve each equation or formula for the specified variables

$Ax+By=C$ for x

Step-by-Step Solution

Answer

The value of x for equation $Ax+By=C$ is $\frac{C-By}{A}$.

Step 1 - Order for simplification

To evaluate any expression involving more than one operation, follow the below order of operations:

• The expression can be converted into algebraic expression by using the algebra, to find the value of unknown variable.
• Use the equality properties to solve equation.

Step 2 - Subtract by B y on both sides

To evaluate given expression, first subtract the term $By$ from both the sides.

$\begin{array}{c}Ax+By-By=C-By\\ Ax=C-By\end{array}$

Step 3 – Divide by A

To simplify further divide the equation .

$\begin{array}{c}\frac{Ax}{A}=\frac{C-By}{A}\\ x=\frac{C-By}{A}\end{array}$