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in Linear Equations by (34.5k points)
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Solve the following equations:

i. \(\cfrac{p}{4}\) = 9

ii. x + 10 = 5 

iii. m – 5 = -12 

iv. p + 4 = -1

1 Answer

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Best 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

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