Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.3 Applications of Linear Equations - Exercise Set 6.3 - Page 375: 61


There are 6 steps to solve algebraic word problem. Step 1: Read the problem thoroughly until you know very well. Step 2: Note all given in the problem and what to find out. Step 3: Let the unknown quantity either x or y. Step 4: Write the equation of the problem in mathematical form. Step 5: Solve the equation and find out unknown quantity. Step 6: Replace the x or y to the unknown quantity.

Work Step by Step

To solve a variable in a problem to get a value which is satisfied the equation of a problem. The variable is anything for example \[2x+3=5\]solve the variable. It means to find the value of \[x\]which satisfied the given equation i.e. \[\begin{align} & 2x+3=5 \\ & 2x=2 \\ & x=1 \end{align}\] It means\[x=1\] satisfied the equation \[2x+3=5\],then, \[\begin{align} & 2x+3=2\left( 1 \right)+3 \\ & =5 \end{align}\] Hence, both are same. It means\[x=1\] and it’s any unknown variable which is required to solve the problem and to get the solution.
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