Question

Give the geometric representations of 2x + 9 = 0 as an equation

(i) in one variable
(ii) in two variables​

Answer 1

Answer:

(i) x = -4.5

(ii) x + 0.y + 9/2 = 0

Step-by-step explanation:

Firstly, we solve 2x + 9 = 0, to get

x = -9/2

(i) If x = -9/2 is treated as an equation in one variable x only, then it has the unique solution

x = -9/2= -4.5, which is a point on the number line.

(ii)When an equation in two variables, it can be expressed as,

x + 0.y + 9/2 = 0

which is a linear equation in the variables x and y. This is represented by a line. Now all the values of y are permissible because 0.y is always 0. However, x must satisfy the equation x = -9/2

2x+9 = 0

=> 2x+0y+9 = 0

Now,

When y = 0, x = -4.5

When y = 1, x = -4.5