NCERT Class 9 Solution: Linear Equation In Two Variables (Chapter 4) Exercise 4.1

Line ax+by+c = 0 on the coordinate plane

Equaltion of a Line Plotted on the Coordinate Plane

Line ax+by+c = 0 on the coordinate plane

Q-1 The cost of a notebook is twice the cost of a pen. Write a linear equation in two variable to represent this statement.

(Take the cost of a notebook to be Rs Equation and that of a pen to be Rs Equation )

Solution:

Consider the cost of a notebook be Equation and that of a pen be Equation .

A linear equation has to equate the two things. According to question, the cost of a notebook is twice the cost of a pen

So, Equation

Therefore, linear equation becomes,

Equation .

Q-2 Express the following linear equations in the form Equation and indicate the value of Equation in each case:

  1. Equation

  2. Equation

  3. Equation

  4. Equation

  5. Equation

  6. Equation

  7. Equation

  8. Equation

Solution:

  1. Equation

    • So, Equation

    • Compare, the equation with Equation

    • Therefore, value of Equation and Equation is Equation

  2. Equation

    • Compare the equation with Equation .

    • Therefore, Equation .

  3. Equation

    • So, Equation

    • Compare, the equation with Equation

    • Therefore, Equation

  4. Equation

    • So, Equation

    • Compare, the equation with Equation

    • Therefore, Equation

  5. Equation

    • So, Equation

    • Compare, the equation with Equation

    • Therefore, Equation

  6. Equation

    • Compare, the equation with Equation

    • Therefore, Equation

  7. Equation

    • Compare, the equation with Equation

    • Therefore, Equation

  8. Equation

  • So, Equation

  • Compare, the equation of Equation

  • Therefore, Equation

Explore Solutions for Mathematics

Sign In