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Chapter 1: Q37. (page 31)

Solve each equation. Check your solution

74x-13=35

Short Answer

Expert verified

The solutions of the equations is2 or 4.5

Step by step solution

01

Step1- Order for solving the equation

To evaluate any equation involving more than one operation, follow the below order operation

  • First assume the case one in which the equation be a=b.
  • Secondly assume the case two in which the equation be a=-b.
  • Solve the equations of both the cases to find the value of algebraic expression
  • After finding the two values of algebraic expression, put the value in the original equation and check the solution
02

Step2- Solve the equations  

Case1:a=b

28x鈭�91=3528x=91+35x=12628=4.5

Case2:a=鈭�b

localid="1646756328912" 28x鈭�91=鈭�3528x=91鈭�35x=5628=2

03

Step3- Check the solutions

Put the value of x=2 in the equation 74x-13=35

7|4x鈭�13|=7|4脳2鈭�13|=7|8鈭�13|=7脳5=35

Put the value of x=4.5 in the equation 74x-13=35

7|4x鈭�13|=7|4脳4.5鈭�13|=7脳5=35

The solution is 2 or 4.5.

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Most popular questions from this chapter

Use the following information.

Simple interest is calculated using the formula I=prt, where p represents the principal in dollars, rrepresents the annual interest rate, and trepresents the time in years. Find the simple interest Igiven each of the following values.

localid="1645019360494" p=$31,000,r=212%,t=18months

Determine which expression below represents the amount of change someone would receive from a \(50bill if they purchased 2 children鈥檚 ticket at \)4.25each and 3 adult ticket at $7each at a movie theatre. Explain.

a.50鈭�2脳4.25+3脳7b.50鈭�2脳4.25+3脳7c.50鈭�2脳4.25+3脳7d.50鈭�2脳4.25+3脳7

Name the sets of numbers to which each number belongs.

24. -31

Evaluate each expression if w=6,x=0.4,y=12,and z=-3

1y+1w

Evaluate each expression

3649
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