Question
Write 5 equations whose solution is x = -2.
✓
Answer
(i) x = -2
Add 3 on both sides
x + 3 = -2 + 3
⇒ x + 3 = 1
Multiply both sides by 2
2(x + 3) = 2
(ii) x = -2
Multiply both sides by 3
3x = -6
Add 2 on both sides
3x + 2 = -6 + 2
⇒ 3x + 2 = -4
(iii) x = -2
Divide both sides by 4
$\begin{array}{l}\frac{x}{4}=-\frac{2}{4} \\ \frac{x}{4}=-\frac{1}{2}\end{array}$
(iv) x = -2
Multiply both sides by 5
5x = -10
Add 12 on both sides
5x + 12 = -10 + 12
⇒ 5x + 12 = 2
(v) x = -2
Subtract 7 from both sides
x – 7 = -2 – 7
x – 7 = -9
Add 3 on both sides
x + 3 = -2 + 3
⇒ x + 3 = 1
Multiply both sides by 2
2(x + 3) = 2
(ii) x = -2
Multiply both sides by 3
3x = -6
Add 2 on both sides
3x + 2 = -6 + 2
⇒ 3x + 2 = -4
(iii) x = -2
Divide both sides by 4
$\begin{array}{l}\frac{x}{4}=-\frac{2}{4} \\ \frac{x}{4}=-\frac{1}{2}\end{array}$
(iv) x = -2
Multiply both sides by 5
5x = -10
Add 12 on both sides
5x + 12 = -10 + 12
⇒ 5x + 12 = 2
(v) x = -2
Subtract 7 from both sides
x – 7 = -2 – 7
x – 7 = -9
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