Given below are some equations and the values of the variables. Are th

Given below are some equations and the values of the variables. Are these values the solutions to those equations?No.EquationValue of the VariableSolution (Yes/No)i.y – 3 = 11y = 3Noii.17 = n + 7n = 10iii.30 = 5xx = 6iv\(\cfrac{m}{2}\) = 14m = 7

Answer»

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