Q33. - Algebra 1

Question

Solve each equation. Check your solution.

$6.78j-5.2=4.33j+2.15$

Step-by-Step Solution

Answer

The solution of the given equation is $j=3$.

Step 1. Write the given equation.

The given equation is “$6.78j-5.2=4.33j+2.15$”.

Step 2. Solve the given equation.

Solving,

$6.78j-5.2=4.33j+2.15$  (Given equation)

$6.78j-5.2-4.33j=4.33j+2.15-4.33j$  (Subtract $4.33j$ from both sides)

$2.45j-5.2=2.15$  (Simplify)

$2.45j-5.2+5.2=2.15+5.2$  (Add $5.2$ to both sides)

$2.45j=7.35$  (Simplify)

$\frac{2.45j}{2.45}=\frac{7.35}{2.45}$  (Divide both sides by $2.45$)

$j=3$  (Simplify)

So, $j=3$ is the solution of the given equation.

Step 3. Check the obtained solution.

Put $j=3$ in the given equation $6.78j-5.2=4.33j+2.15$ to get,

$\begin{array}{l}6.78\left(3\right)-5.2=4.33\left(3\right)+2.15\\ 20.34-5.2=12.99+2.15\\ 15.14=15.14\end{array}$

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.