Instructions

For the two given equations I and II.
Give answer a: if p is greater than q.
Give answer b: if p is smaller than q.
Give answer c: if p is equal to q.
Give answer d: if p is either equal to or greater than q.
Give answer e: if p is either equal to or smaller than q.

Question 99

I. 3p + 2q - 58 = 0
II. 4q + 4p = 92

Solution

I : $$3p + 2q = 58$$ ------------Eqn(1)

II : $$4p + 4q = 92$$

=> $$2p + 2q = 46$$ -----------Eqn (2)

Subtracting eqn(2) from eqn(1)

=> $$3p - 2p = 58 - 46$$

=> $$p = 12$$

and $$q = 11$$

$$\therefore p > q$$


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