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5 Think Smart

Solve the following equations: Can you solve the
equation
2x + 13
(a) = 7 (b) 5(x – 4) = x + 16 3(2x + 3) = 6x + 9?
5 Explain.

2x + 13
(a) = 7
5
2x + 13 × 5 = 7 × 5 Multiply both sides by 5.
5
2x + 13 = 35 Check your answer by
substituting the value
Subtract 13 from both
2x + 13 – 13 = 35 – 13 sides of the equation. of the variable obtained
into the equation and
2x = 22 then test whether the
2x 22 value on the left hand CHAPTER
= Divide both sides by 2. side is equal to the value
2 2 on the right hand side. 6
x = 11

(b) 5(x – 4) = x + 16
5x – 20 = x + 16 Expand the equation. Visit http://goo.gl/
nB5Sq for the
5x – 20 + 20 = x + 16 + 20 Add 20 to both sides. game about solving
linear equations in
5x = x + 36
Subtract x from both one variable.
5x – x = x + 36 – x
sides of the equation.
4x = 36
4x 36
= Divide both sides by 4.
4 4

x = 9

Self Practice 6.1c

1. Solve the following linear equations:
x
(a) x – 10 = 3 (b) 4x – 1 = 7 (c) + 3 = 5
6
x + 8 2
(d) = 9 (e) 3(x + 2) = 5x (f) x – 4 = x + 1
2 3

129
Linear Equations

06 TB Math F1.indd 129 11/10/16 12:14 PM