Q12. - Algebra 1

Question

Solve each equation. Check your solution. (Lesson 2-3)

$-4=\frac{d+3}{5}$

Step-by-Step Solution

Answer

The solution of the given equation is $d = - 23$.

Step 1. Given equation.

$-4=\frac{d+3}{5}$

Step 2. Description of step.

Solving the given equation to find the value of d as,

$\begin{array}{c}-4=\frac{d+3}{5}\\ \Rightarrow -4\times 5=d+3\\ \Rightarrow -20=d+3\\ \Rightarrow -20-3=d\\ \Rightarrow d=-23\end{array}$

Step 3. Check solution.

In order to check the solution, put the value of d back in the given equation and see if it satisfies the equation, i.e. of left hand side is equals to right hand side, as: 

$\begin{array}{c}-4=\frac{d+3}{5}\\ \Rightarrow -4=\frac{\left(-23\right)+3}{5}\\ \Rightarrow -4=\frac{-20}{5}\\ \Rightarrow -4=-4\\ \Rightarrow \text{true}\end{array}$

Hence, the solution $d=-23$ satisfies the equation.