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Use a property of equality to solve each equation. Then check the result. See Example $3 .$$$x+\frac{1}{14}=\frac{9}{7}$$
$x=(17 / 14)$
Precalculus
Algebra
Chapter 2
Equations, Inequalities, and Problem Solving
Section 1
Solving Equations Using Properties of Equality
Algebra Topics That are Reviewed at the Start of the Semester
Equations and Inequalities
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solve the equation and then check your solution. X plus 1/14 equals 9/7 toe. Isolate the variable. Subtract 1/14 from both sides in order to subtract 1/14 from 9/7 we need a common denominator. 9/7 can be written as 18 14th 18 14th minus 1/14 is 17 14th X equal. 17 14th. To check your solution, substitute 17 14th into the original equation for X and see if it makes a true statement. 17 14th plus 1/14 is equal to 18. 14th 18 14th can reduce to nine. Seventh 9/7 is equal to 9/7 therefore, X equal 17. 14th is the correct answer.
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