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Look at the following equations obtained from the results of
Exploration Activity 1.
Discuss why k + 1 = 6 is
2
y
x + 5 = 8 – 10 = 1 6p + 4q = 9 a non-linear equation.
2
2y
x – = 7 3n + 1 = 6n 3h – 1 = 5k
3 id ou now

These equations are known as linear equations since the Expressions such as
1
x
power of the variables is one. xy, and are
x y
Among the linear equations, it is found that the non-linear expressions.
following equations have only one variable and the power of
the variable is one.
y
x + 5 = 8 – 10 = 1 3n + 1 = 6n CHAPTER
2
The characteristics of a
These equations are known as linear equations in linear equation in one 6
one variable. variable:
• Has only one variable
Power of x is 1
• The power of the
variable is one
x + 5 = 8

One variable Equality

1

Explain whether each of the following equations is a linear Discuss whether each of
equation in one variable: the following equations
(a) 3x + 2 = 5 (b) p – 4q = 6 is a linear equation in
k one variable.
2
(c) 2(k – 7) = (d) y + 3y = 1
3 (a) x = 0
(b) 1 + 2 = 6
x
(a) Yes, because the equation has one variable, x and the (c) x( x – 1) = 9
power of x is 1.
(b) No, because the equation has two variables, p and q.
(c) Yes, because the equation has one variable, k and the power of k is 1.
(d) No, because the highest power of the variable y is 2.

Self Practice 6.1a

1. Explain whether each of the following equations is a linear equation in one variable:
(a) m + 5 = 12 (b) 3(p – 2) = –7 (c) 9x + 8y = 10 (d) k – 5k = 4
2

125
Linear Equations

06 TB Math F1.indd 125 11/10/16 12:14 PM