# Given below are some equations and the values of the variables. Are these values the solutions to those equations?

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Given below are some equations and the values of the variables. Are these values the solutions to those equations?

 No. Equation Value of the Variable Solution (Yes/No) i. y – 3 = 11 y = 3 No ii. 17 = n + 7 n = 10 iii. 30 = 5x x = 6 iv $\cfrac{m}{2}$ = 14 m = 7

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 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