Linear Equations in One Variable - Maths Class 8th - Ex 2.6 - Q1 to Q5 - Chapter 2 - NCERT - CBSE

Linear Equations in One Variable - Maths Class 8th - Ex 2.6 - Question 1 - Question 2 - Question 3 - Question 4 - Question 5 - Chapter 2 - NCERT - CBSE Full exercise on Linear Equations in One Variable, fully solved. This is a video tutorial for 8th class NCERT CBSE students. For other educational stuff, subscribe and press bell icon. Equations Reducible to the Linear Form Example 18: Solve (x+1)/(2x+3) = 3/8 Example 19:Present ages of Anu and Raj are in the ratio 4:5. Eight years from now the ratio of their ages will be 5:6. Find their present ages. Reducing Equations to Simpler Form Solve (6x+1)/3+1 = (x-3)/6, Solve 5x – 2 (2x – 7) = 2 (3x – 1) + 7/2 EXERCISE 2.5 Solve the following linear equations. 1. x/2-1/5 = x/3+1/4 2. n/2-3n/4+5n/6 = 21 3. x+7-8x/3 = 17/6-5x/2 4. (x-5)/3 = (x-3)/5 5. (3t-2)/4-(2t+3)/3 = 2/3-t 6. m-(m-1)/2 = 1-(m-2)/3 Simplify and solve the following linear equations. 7. 3(t – 3) = 5(2t + 1) 8. 15(y – 4) –2(y – 9) + 5(y + 6) = 0 9. 3(5z – 7) – 2(9z – 11) = 4(8z – 13) – 17 10. 0.25(4f – 3) = 0.05(10f – 9) EXERCISE 2.6 Solve the following equations. 1. (8x-3)/3x = 2 2. 9x/(7-6x) = 15 3. z/(z+15) = 4/9 4. (3y+4) / (2-6y) = -2/5 5. (7y+4)/(y+2) = -4/3 6. The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages. 7. The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 3/2. Find the rational number. WHAT HAVE WE DISCUSSED? 1. An algebraic equation is an equality involving variables. It says that the value of the expression on one side of the equality sign is equal to the value of the expression on the other side. 2. The equations we study in Classes VI, VII and VIII are linear equations in one variable. In such equations, the expressions which form the equation contain only one variable. Further, the equations are linear, i.e., the highest power of the variable appearing in the equation is 1. 3. A linear equation may have for its solution any rational number. 4. An equation may have linear expressions on both sides. Equations that we studied in Classes VI and VII had just a number on one side of the equation. 5. Just as numbers, variables can, also, be transposed from one side of the equation to the other. 6. Occasionally, the expressions forming equations have to be simplified before we can solve them by usual methods. Some equations may not even be linear to begin with, but they can be brought to a linear form by multiplying both sides of the equation by a suitable expression. 7. The utility of linear equations is in their diverse applications; different problems on numbers, ages, perimeters, combination of currency notes, and so on can be solved using linear equations. #Class8 #LinearEquationsinOneVariable #NCERT #NcertSolutions #solvedexercises #teaching #CBSE #maths #MathematicsClass8th #LinearEquations #samrules Make sure to Subscribe and get the latest tutorials for your delight :) http://www.youtube.com/subscription_c... Make sure to check out our other Video Tutorials! Also, check us out when we're posting other helpful videos all throughout the week to help you tell more and grow more using online video.