## Chapter 8 Linear Equations in Two Variables Ex 8.4

**Question 1.** **Give the geometric representations of y = 3 as an equation** **(i) in one variable.** **(ii) in two variables.** **Solution:**

The given linear equation is

y=3 …(i) **(i)** The representation of the solution on the number line is shown in the figure below, where y = 3 is treated as an equation in one variable.

**(ii)** We know that, y = 3 can be written as

0 . x + y = 3

which is a linear equation in the variables x and y. This is represented by a line. Now, all the values of x are permissible because 0 . x is always 0.

However, y must satisfy the equation y = 3.

Note that, the graph AB is a line parallel to the x-axis and at a distance of 3 units to the upper side of it.

**Question 2.** **Give the geometric representations of 2x + 9 = 0 as an equation** **(i) in one variable.** **(ii) in two variables.** **Solution:**