EBK PRECALCULUS W/LIMITS

4th Edition

ISBN: 9781337516853

Author: Larson

Publisher: CENGAGE CO

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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Question

Chapter A.5, Problem 15E

To determine

Tofind:Thesolution of the equation 5x−45x+4=23 and check the solution.

Expert Solution & Answer

Answer to Problem 15E

The solution of the equation 5x−45x+4=23 is x=4 .

Explanation of Solution

Given information:

The given equation is 5x−45x+4=23 .

Calculation:

Solve the given equation.

5x−45x+4=23

In the above equation, the LCD is (5x+4) . So, multiply each term by (5x+4) on both the sides.

(5x−45x+4)(5x+4)=23(5x+4)5x−4=23(5x+4)3(5x−4)=2(5x+4)15x−12=10x+8

Further simplify the equation.

15x−12=10x+815x−10x=12+85x=20x=4

Check Solution:

Substitute 4 for x in the given equation.

5(4)−45(4)+4=2320−420+4=231624=2323=23

From the above equation, it is clear that x=4 is a solution of the given equation.

Therefore, the solution of the equation 5x−45x+4=23 is x=4 .

Chapter A.5, Problem 14E

Chapter A.5, Problem 16E

Chapter A Solutions

EBK PRECALCULUS W/LIMITS

Ch. A.1 - Prob. 1E Ch. A.1 - Prob. 2E Ch. A.1 - Prob. 3E Ch. A.1 - Prob. 4E Ch. A.1 - Prob. 5E Ch. A.1 - Prob. 6E Ch. A.1 - Prob. 7E Ch. A.1 - Prob. 8E Ch. A.1 - Prob. 9E Ch. A.1 - Prob. 10E

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Tofind: Thesolution of the equation 5 x − 4 5 x + 4 = 2 3 and check the solution.