Question
Write 4 equations whose solution is u = 6.
✓
Answer
(i) u = 6
Multiply both sides by $\frac{2}{3}$
$\begin{array}{l}\Rightarrow \frac{2}{3} u=\frac{2}{3} \times 6 \\ \Rightarrow \frac{2}{3} u=4\end{array}$
(ii) u = 6
Add 7 to both sides u + 7 = 6 + 7
⇒ u + 1 = 13
(iii) u = 6
Multiply both sides by 2
2u = 12
Add 3 to both sides
⇒ 2u + 3 = 12 + 3
⇒ 2u + 3 = 15
(iv) u = 6
Multiply both sides by 3
3u = 18
Subtract 5 from both sides
3u – 5 = 18 – 5
⇒ 3u – 5 = 13
Multiply both sides by $\frac{2}{3}$
$\begin{array}{l}\Rightarrow \frac{2}{3} u=\frac{2}{3} \times 6 \\ \Rightarrow \frac{2}{3} u=4\end{array}$
(ii) u = 6
Add 7 to both sides u + 7 = 6 + 7
⇒ u + 1 = 13
(iii) u = 6
Multiply both sides by 2
2u = 12
Add 3 to both sides
⇒ 2u + 3 = 12 + 3
⇒ 2u + 3 = 15
(iv) u = 6
Multiply both sides by 3
3u = 18
Subtract 5 from both sides
3u – 5 = 18 – 5
⇒ 3u – 5 = 13
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