Solve the following equations:i. \(\cfrac{p}{4}\) = 9ii. x + 10 = 5�

1.	Solve the following equations:i. \(\cfrac{p}{4}\) = 9ii. x + 10 = 5 iii. m – 5 = -12 iv. p + 4 = -1
Answer» i. \(\cfrac{p}{4}\) = 9 ∴ \(\cfrac{p}{4}\)× 4 = 9 × 4 …. (Multiplying both sides by 4) ∴ \(\cfrac{p\times4}{4\times1}\)= 36 ∴ 1p = 36 ∴ p = 36 ii. x + 10 = 5 ∴ x + 10 – 10 = 5 – 10 …. (Subtracting 10 from both sides) ∴ x + 0 = 5 + (-10) ∴ x = -5 iii. m – 5 = -12 ∴m – 5 + 5 = – 12 + 5 …. (Adding 5 to both sides) ∴ m + 0 = -7 ∴ m = -7 iv. p + 4 = – 1 ∴ p + 4 – 4 = -1 – 4 …. (Subtracting 4 from both sides) ∴ p + 0 = (-1) + (-4) ∴ P = -5

Solve the following equations:i. \(\cfrac{p}{4}\) = 9ii. x + 10 = 5 iii. m – 5 = -12 iv. p + 4 = -1

Answer»

i. \(\cfrac{p}{4}\) = 9

∴ \(\cfrac{p}{4}\)× 4 = 9 × 4

…. (Multiplying both sides by 4)

∴ \(\cfrac{p\times4}{4\times1}\)= 36

∴ 1p = 36

∴ p = 36

ii. x + 10 = 5

∴ x + 10 – 10 = 5 – 10

…. (Subtracting 10 from both sides)

∴ x + 0 = 5 + (-10)

∴ x = -5

iii. m – 5 = -12

∴m – 5 + 5 = – 12 + 5

…. (Adding 5 to both sides)

∴ m + 0 = -7

∴ m = -7

iv. p + 4 = – 1

∴ p + 4 – 4 = -1 – 4

…. (Subtracting 4 from both sides)

∴ p + 0 = (-1) + (-4)

∴ P = -5