Solve Linear Equation Using Principles
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Questions and Answers

What is the first step to isolate $x$ in the equation $37(x - 148) = 74$?

  • Add 148 to both sides
  • Subtract 148 from both sides
  • Multiply both sides by 37
  • Divide both sides by 37 (correct)

    • After dividing both sides of the equation $37(x - 148) = 74$ by 37, what is the resulting equation?

  • $37x = 2$
  • $x - 148 = 74$
  • $x - 148 = 2$ (correct)
  • $x = 2$

    • What is the next step after obtaining the simplified equation $x - 148 = 2$?

  • Add 148 to both sides (correct)
  • Subtract 148 from both sides
  • Divide both sides by 148
  • Multiply both sides by 2

    • What is the value of $x$ in the equation $37(x - 148) = 74$?

    <p>150</p> Signup and view all the answers

    What does $x$ represent in the equation $37(x - 148) = 74$?

    <p>A variable</p> Signup and view all the answers

    What is the first step to solve the equation 37(x - 148) = 74?

    <p>Divide both sides by 37</p> Signup and view all the answers

    After dividing both sides of the equation by 37, what is the simplified equation?

    <p>x - 148 = 2</p> Signup and view all the answers

    What is the value of x in the equation x - 148 = 2?

    <p>150</p> Signup and view all the answers

    What operation must be performed after obtaining x - 148 = 2 to isolate x?

    <p>Add 148 to both sides</p> Signup and view all the answers

    Which of the following verifies the solution x = 150?

    <p>37(150 - 148) = 74</p> Signup and view all the answers

    Study Notes

    Solving Equations using the Addition and Multiplication Principles

    • The equation to be solved is 37(x - 148) = 74
    • The equation involves the use of both addition and multiplication principles to find the value of x
    • The equation can be simplified by first distributing the 37 to the terms inside the parentheses
    • This results in 37x - 5436 = 74, which can then be solved for x

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    Description

    Solve the given linear equation using the addition and multiplication principles together to find the value of x. The equation is 37(x - 148) = 74.

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