Chapter 2: Q12. (page 110)

Solve each equation. Check your solution. (Lesson 2-3)
$- 4 = \frac{d + 3}{5}$

Short Answer

Expert verified

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

Step by step solution

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,

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

Step 3. Check solution.

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

$\begin{matrix} - 4 = \frac{d + 3}{5} \\ \Rightarrow - 4 = \frac{(- 23) + 3}{5} \\ \Rightarrow - 4 = \frac{- 20}{5} \\ \Rightarrow - 4 = - 4 \\ \Rightarrow true \end{matrix}$

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

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Solve each equation. Check your solution. (Lesson 2-3)
$- 4 = \frac{d + 3}{5}$

Short Answer

Step by step solution

Step 1. Given equation.

Step 2. Description of step.

Step 3. Check solution.

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Solve each equation. Check your solution. (Lesson 2-3)−4=d+35

Short Answer

Step by step solution

Step 1. Given equation.

Step 2. Description of step.

Step 3. Check solution.

One App. One Place for Learning.

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Solve each equation. Check your solution. (Lesson 2-3)
$- 4 = \frac{d + 3}{5}$