Q3B. - Algebra 1

Question

Evaluate the following equation:

$-\frac{1}{4}=\frac{2}{3}b$

Step-by-Step Solution

Answer

The solution of the equation $-\frac{1}{4}=\frac{2}{3}b$ is $b=-\frac{3}{8}$.

Step 1. Given information.

The given equation is $-\frac{1}{4}=\frac{2}{3}b$.

Step 2. Write the concept.

In an equation, the variable represents the number that satisfies the equation.

To solve an equation means to find the value of the variable that makes the equation true.

If an equation is true and the same number is added to each side of the equation, then the resulting equivalent equation is also true.

Step 3. Solve the equation.

The equation $-\frac{1}{4}=\frac{2}{3}b$ can be solved below:

 $-\frac{1}{4}=\frac{2}{3}b$ 

Multiply both sides by 3,

$\begin{array}{c}-\frac{1}{4}\times 3=\frac{2}{3}b\times 3\\ -\frac{3}{4}=2b\end{array}$

Divide both sides by 2,

$\begin{array}{c}-\frac{3}{4\times 2}=\frac{2b}{2}\\ -\frac{3}{8}=b\end{array}$