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Solving Linear Equations: Step-by-Step Guidance

스터디 가이드 - 스마트 노트

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Q1. Solve the equation and check:

Background

Topic: Linear Equations

This question tests your ability to solve a linear equation in one variable by isolating the variable and checking your solution.

Key Terms and Formulas

  • Linear Equation: An equation of the form where are constants.

  • Additive Property of Equality: You can add (or subtract) the same value to both sides of an equation without changing its solution.

  • Multiplicative Property of Equality: You can multiply (or divide) both sides of an equation by the same nonzero value.

Step-by-Step Guidance

Try solving on your own before revealing the answer!

Step-by-step solution for linear equation 7x - 4 = 8 + 3x

Final Answer:

To check, substitute back into the original equation: . Both sides equal 17, confirming the solution.

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