No. |
Equation |
Value of the Variable |
Solution (Yes/No) |
i. |
y – 3 = 11 |
y = 3 |
No |
ii. |
17 = n + 7 |
n = 10 |
Yes |
iii. |
30 = 5x |
x = 6 |
Yes |
iv |
\(\cfrac{m}{2}\) = 14 |
m = 7 |
No |
i. y – 3 = 11
∴ y – 3 + 3 = 11 + 3
…. (Adding 3 to both sides)
∴ y + 0 = 14 ∴ y = 14
ii. 17 = n + 7
∴ 17 – 7 = n + 7 – 7
…. (Subtracting 7 from both sides)
∴ 17 + (-7) = n + 7 – 7
∴ 10 = n
∴ n = 10
iii. 30 = 5x
\(\therefore\) \(\cfrac{30}{5}\) = \(\cfrac{5x}{5}\)
…. (Dividing both sides by 5)
∴ 6 = 1x
∴ 6 = x
∴ x = 6
iv. \(\cfrac{m}{2}\)= 14
∴ \(\cfrac{m}{2}\)× 2 = 14 × 2
…. (Multiplying both sides by 2)
\(\cfrac{m\times2}{2\times1}\) = 28
∴ m = 28