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NCERT Solutions for Class 8 Math Chapter 2 - Linear Equations In One Variable Oct 09, �� Linear Equations in One Variable Class 8 Notes Conceptual Facts 1. Statement of equality containing one or more variable (unknown quantity) is called an equation. For example: 3x � 5 = 6, x � 3y = 7,, x 2 + 5 = y 2 are all myboat064 boatplansted Reading Time: 1 min. Learn the concepts of Class 8 Maths Linear Equations in One Variable with Videos and Stories. LINEAR EQUATION IN ONE VARIABLE. MAX TIME: 90mins. MAX MARKS: 1. Solve the following Equations (2 marks each) a) (2x - 5)/ (3x - 1) = (2x - 1)/ (3x + 2) b) (3 - 7x)/ (15 + 2x) = 0. c) (y - 3)/ (y + 9) = -7/5. d) 2/ (3x - 1) + 3/ (3x .
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The perimeter of a rectangular swimming pool is m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool? Solution: Let the breadth of the pool be x m. What is the length of either of the remaining equal sides? Solution: Let the length of each of equal sides of the triangle be x cm. Sum of two numbers be If one exceeds the other by 15, find the 8 Class Cbse Maths Syllabus Github numbers.

Two numbers are in the ratio 5 : 3. If they differ by 18, what are the numbers? Solution: Let the two numbers be 5x and 3x. Three consecutive integers add up to What are these integers? The sum of three consecutive multiples of 8 is Find the multiples. Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3, and 4 respectively, they add up to Find these numbers.

The ages of Rahul and Haroon are in the ratio 5 : 7. Four years later the sum of their ages will be 56 years. We are free to perform the same operation suitable on both sides of the equation such as we can add to or subtract from both sides of the equation the same quantity number. Also, we can multiply or divide both sides of the equation by the same non-zero quantity number.

Then, we divide both sides by the coefficient of the variable to get the solution. Reject if the solution is invalid. Note: The process of carrying out a term from one side to the other side is called transposition. In this process, the sign of the term gets changed. In daily life, there come many simple problems which can be easily solved by first forming a linear equation in one variable according to the given condition of the problem and then solving this linear equation by following usual procedure.

Then, simplifying both sides and dividing by a suitable number if required , we can solve the equation. Finally, check the validity of the solution obtained. Some More Applications Problems of multi-varieties occur in our daily life. All these can be solved by forming a suitable linear equation according Cbse Class 8 Maths Chapter 1 Worksheet to the condition given in the problem and then solving this equation by usual method.

Finally check the validity of the solution. Reducing Equations to Simpler Form We multiply both sides of the equation by the LCM of the denominators of the terms in the expressions occurring in the given equation.

Then, combining like terms on both sides of the equation and dividing both sides by a suitable number if required , we can find out the required solution. Finally, we check this solution for its validity. Equations Reducible to Linear Form Sometimes the given equation is not linear in form. By cross-multiplication and further simplification, it can be transformed into a linear equation in one variable. Then, it can be solved by the usual method.

A linear equation may have any rational number, as its solution. An equation may have a linear expression on both sides of the equation.

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