Solve the following equations:i. y – 5 = 1 ii. 8 = t + 5 iii. 4x =

1.	Solve the following equations:i. y – 5 = 1 ii. 8 = t + 5 iii. 4x = 52 iv. 19 = m – 4
Answer» i. y – 5 = 1 ∴ y – 5 + 5 = 1 + 5 …. (Adding 5 to both sides) ∴ y + 0 = 6 ∴ y = 6 ii. 8 = t + 5 ∴ 8 – 5 = t + 5 – 5 ……(Subtracting 5 from both sides) ∴ 8 + (-5) = t + 0 ∴ 3 = t ∴ t = 3 iii. 4x = 52 ∴ \(\cfrac{4x}{4} = \cfrac{52}{4}\) …. (Dividing both sides by 4) ∴ 1x = 13 ∴ x = 13 iv. 19 = m -4 ∴ 19 + 4 = m – 4 + 4 …. (Adding 4 to both sides) ∴ 23 = m + 0 ∴ m = 23

Solve the following equations:i. y – 5 = 1 ii. 8 = t + 5 iii. 4x = 52 iv. 19 = m – 4

Answer»

i. y – 5 = 1

∴ y – 5 + 5 = 1 + 5

…. (Adding 5 to both sides)

∴ y + 0 = 6

∴ y = 6

ii. 8 = t + 5

∴ 8 – 5 = t + 5 – 5

……(Subtracting 5 from both sides)

∴ 8 + (-5) = t + 0

∴ 3 = t

∴ t = 3

iii. 4x = 52

∴ \(\cfrac{4x}{4} = \cfrac{52}{4}\)

…. (Dividing both sides by 4)

∴ 1x = 13

∴ x = 13

iv. 19 = m -4

∴ 19 + 4 = m – 4 + 4

…. (Adding 4 to both sides)

∴ 23 = m + 0

∴ m = 23