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NCERT Solutions for Class 8 Maths Chapter 2:Linear Equations in One Variable

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The chapter manages the equations with linear expressions in a single variable, known as Linear Equations in One Variable. This exercise has 65 questions incorporating various concepts of the solution, a portion of its applications, decreasing equations to a less complex structure and word problems identified with Linear Equations in One Variable.

Solving Linear Equations
Performing Mathematical Operations on Equations: While we perform mathematical operations on a linear condition, we ought to do it on the two sides of the equality that won't remain constant.

Solving Equations with variables on both sides
The equation 3x - 3 = x – 2, has variables on both of its sides. Step 1: Transpose all the terms with a variable from the right-hand side to the left-hand side of the mentioned equation and all the constants from the left-hand side to the right-hand side of the equation. 3x – x = -2+3 Step 2: Divide the two sides of the equation by the coefficient of the Variable. ⇒ x = 1/2


Applications (Word Problems)
Sum of two numbers is 74. If a number exceeds the other by 10, then what are the numbers? Let the numbers be x and x+10 Given that the sum of the two is 74, Therefore, x+(x+10) =74 Thus, 2x + 10 = 74 ⇒2x =74−10 ⇒x = 64/2 ⇒x = 32 The numbers are 32 and 42, respectively.



Variables and Constants
A constant is a certain value or number that never shows signs of change in an expression, and it's constantly the same. A variable is a letter representing some obscure value.

Algebraic Equation
The assertion of equality of two algebraic articulations is an algebraic equation, such as P=Q, where P and Q are algebraic articulations. 6x + 5 and 5x + 3 are algebraic articulations by equating which, we get an algebraic equation. 6x + 5 = 5x + 3 is an algebraic equation.

Linear Equations in One Variable
A linear equation is a certain algebraic equation where each term is either a constant or its product and a single variable with 1 as its highest power. A linear equation with a single variable is called a Linear Equation in One Variable.

 

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Also See    
NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry
NCERT Solutions for Class 8 Maths Chapter 5 Data Handling NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots NCERT Solutions for Class 8 Maths Chapter 7 Cube and Cube Roots
NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities NCERT Solutions for Class 8 Maths Chapter 9 Rational Numbers NCERT Solutions for Class 8 Maths Chapter 10: Visualizing Solid Shapes
NCERT Solutions for Class 8 Maths Chapter 11 Mensuration NCERT Solutions for Class 8 Maths Chapter 12:Exponents and Powers NCERT Solutions for Class 8 Maths Chapter 13:Direct and Inverse Proportions
NCERT Solutions for Class 8 Maths Chapter 14 Factorisation NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers

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