Q3 of 39 Page 146

Solve the equation 3x + 2 = 8x - 8 and represent the solution on

i) the number line


ii) the Cartesian plane

We are given that, 3x + 2 = 8x - 8


We get,


3x – 8x = -8 – 2


⇒ -5x = -10


⇒ x =


⇒ x = 2


The representation of the solution on the number line, when given equation is treated as an equation in one variable.



The representation of the solution on the Cartesian plane, it is a line parallel to y-axis passing through the point (5,0) is shown below



More from this chapter

All 39 →
1

Give the graphical representation of the following equation.

a) On the number line and


b) On the Cartesian plane


3x + 5 = 0

 2

Give the graphical representation of 2x - 11 = 0 as an equation in

i) one variable


ii) two variables

 4

Write the equation of the line parallel to X-axis, and passing through the point

i) (0, –3)


ii) (0, 4)


iii) (2, –5)


iv) (3, 4)

 5

Write the equation of the line parallel to Y-axis and passing through the point

i) (–4, 0)


ii) (2, 0)


iii) (3, 5)


iv) (–4, –3)