In two variables
2x + 9 = 0
⇒ 2x + Oy + 9 = 0
It is a linear equation in two variables x and y. This is represented by a line. All the values of y are permissible because Oy is always 0. However, x must satisfy the relation
2x + 9 = 0, i.e. Hence, two solutions of the given equation are Hence,
The graph AB is a line parallel to the y-axis and at a distance of units to the left of origin O.
Solve the equation 3(x + 2) = 2(2x – 1) and represent the solution:
(i) on the number line
(ii) in the Cartesian plane.
Solve 4x – 7 = 9. Represent the solution (i) on the number line
(ii) in the Cartesian plane.
Give the geometric interpretation of 7x + 6 = 2x – 4 as an equation:
(i) in one variable
(ii) in two variables.
Give the geometrical representation of the equation 3x + 15 = 0 as an equation:
(i) in one variable
(ii) in two variables