Give the geometric representation of 2x+9=0 as an equation, 1) In one variable 2) in two variables
Answers
Answer:
In one variable
Given equation is 2x+9=0
⇒2x=−9
⇒x=
2
−9
=−4.5
(ii) Given equation is 2x+9=0
⇒2x+0y+9=0
⇒2x=−9
⇒x=
2
−9
=−4.5
It is line parallel to y-axis at a negative distance.
Two points lying it are the points A(−4.5,0),B(−4.5,2).
Answer:
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
When y = 0, x = -4.5
When y = 1, x = -4.5