Q1. - Algebra 2

Question

1. Solve $2\text{d}+5=8\text{d}+2$. Check the solution.

Step-by-Step Solution

Answer

The solution of $\text{d}$ is $\mathbf{0}.\mathbf{5}$.

Step 1 - State the definition of a variable

A variable is a term that is used to represent an unknown value.

Step 2 - Solve the equation

Here, the equation is:

$2d+5=8d+2$

Then, to simplify this equation use subtraction property,

$\begin{array}{c}2d+5=8d+2\\ 2d+5-2=8d+2-2\\ 2d+3-2d=8d-2d\\ 3=6d\\ d=0.5\end{array}$

Here, the value of $d$ is $0.5$.

Step 3 - Check the solution

For $d=0.5$.

Check:

 $\begin{array}{c}2d+5=8d+2\\ \left(2\times 0.5\right)+5=\left(8\times 0.5\right)+2\\ 1+5=4+2\\ 6=6\end{array}$

Thus, it is correct.

Step 4 - State the conclusion

Therefore, the solution of d is $0.5$.