If p + 2q = 8 and 2p - q = 11, then p =?

Solution:

Given, the linear equations are

p + 2q = 8 --- (1)

2p - q = 11 --- (2)

We have to find the value of p, by solving the linear equations given.

From equation (2),

2p - q = 11

2p = 11 + q

q = 2p - 11

Put the value of q in (1) by the substitution method.

p + 2(2p - 11) = 8

p + 4p - 22 = 8

5p - 22 = 8

5p = 8 + 22

5p = 30

p = 30/5

p = 6

Therefore, the value of p is 6.

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If p + 2q = 8 and 2p - q = 11, then p =?

Summary:

If p + 2q = 8 and 2p - q = 11, then p = 6.