Chapter 2: Q. 214 (page 240)

In the following exercise, solve the following equations with variables and constants on both sides.
$8 - \frac{2}{5} q = \frac{3}{5} q + 6$

Short Answer

Expert verified

The solution for the given equation is $q = 2$

Step by step solution

Step 1. Given information

The given equation is $8 - \frac{2}{5} q = \frac{3}{5} q + 6$

We have to solve the given equation

Step 2. Explanation

$\begin{array}{l} \Rightarrow 8 - \frac{2}{5} q = \frac{3}{5} q + 6 \\ \Rightarrow 8 - \frac{2}{5} q + \frac{2}{5} q = \frac{3}{5} q + \frac{2}{5} q + 6 (Add \frac{2}{5} qtobothsides) \\ \Rightarrow 8 = \frac{3}{5} q + \frac{2}{5} q + 6 (Simplify) \\ \Rightarrow 8 = \frac{3 q + 2 q}{5} + 6 (TakeLCDtotherightside) \\ \Rightarrow 8 = \frac{5 q}{5} + 6 (Simplify) \\ \Rightarrow 8 = q + 6 (Simplify) \\ \Rightarrow 8 - 6 = q + 6 - 6 (Subtract6frombothsides) \\ \Rightarrow 2 = q (Simplify) \\ Thesolutionisq=2 \end{array}$

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In the following exercise, solve the following equations with variables and constants on both sides.
$8 - \frac{2}{5} q = \frac{3}{5} q + 6$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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In the following exercise, solve the following equations with variables and constants on both sides.8−25q=35q+6

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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Most popular questions from this chapter

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In the following exercise, solve the following equations with variables and constants on both sides.
$8 - \frac{2}{5} q = \frac{3}{5} q + 6$