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Equations in One Variable: Definition, Examples & Solved Problems

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Anas Farooq Maniya AFM
Anas Farooq Maniya AFM

First degree equation in one variable

Education
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FIRSTDEGREEEQUATIONIN ONEVARIABLE DEFINITION:  The Equations in which the highest exponent is 1 are called the First Degree Equations.  All linear equations are first degree equations.  Equation of a straight line is a first degree equation. EXAMPLES OF FIRST DEGREE EQUATIONS Considerthe equation3x + 5 = 6. The highestexponentof the variablesinthisequationis1. So,3x + 5 = 6 is a firstdegree equation. SOLVED EXAMPLE ON FIRST DEGREE EQUATIONS Ques: Identify the first degree equation from the following. Choices: A. 8x � y = 3 B. 5x + 4x2 = 7x C. 7x3 � 8x2 + 9x + 3 = 0 D. x2 + 2x + 1 = 0 Correct Answer: A SOLUTION: Step 1: The equations in which the highest exponent is 1 are called the first degree equations. Step 2: Here, only 8x � y = 3 has 1 as its highest exponent. Step 3: So, 8x � y = 3 represent a first degree equation.

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Equations in One Variable: Definition, Examples & Solved Problems

  • 1. FIRSTDEGREEEQUATIONIN ONEVARIABLE DEFINITION:  The Equations in which the highest exponent is 1 are called the First Degree Equations.  All linear equations are first degree equations.  Equation of a straight line is a first degree equation. EXAMPLES OF FIRST DEGREE EQUATIONS Considerthe equation3x + 5 = 6. The highestexponentof the variablesinthisequationis1. So,3x + 5 = 6 is a firstdegree equation. SOLVED EXAMPLE ON FIRST DEGREE EQUATIONS Ques: Identify the first degree equation from the following. Choices: A. 8x � y = 3 B. 5x + 4x2 = 7x C. 7x3 � 8x2 + 9x + 3 = 0 D. x2 + 2x + 1 = 0 Correct Answer: A SOLUTION: Step 1: The equations in which the highest exponent is 1 are called the first degree equations. Step 2: Here, only 8x � y = 3 has 1 as its highest exponent. Step 3: So, 8x � y = 3 represent a first degree equation.