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Chapter 2: Q. 214 (page 240)

In the following exercise, solve the following equations with variables and constants on both sides.

8鈭�25q=35q+6

Short Answer

Expert verified

The solution for the given equation isq=2

Step by step solution

01

Step 1. Given information

The given equation is8鈭�25q=35q+6

We have to solve the given equation

02

Step 2. Explanation

鈬�8鈭�25q=35q+6鈬�8鈭�25q+25q=35q+25q+6(Add25qtobothsides)鈬�8=35q+25q+6(Simplify)鈬�8=3q+2q5+6(TakeLCDtotherightside)鈬�8=5q5+6(Simplify)鈬�8=q+6(Simplify)鈬�8鈭�6=q+6鈭�6(Subtract6frombothsides)鈬�2=q(Simplify)Thesolutionisq=2

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