Question

4p + 4q = 1
7 = 3p + 2q
Find q, round answer to 1 decimal place.

Answer 1

Explanation:

4p+4q=1 -------- equation 1 -------*+3

3p+2q=7 --------equation 2 -------* +4

12p+12q=3 ------equation 3

( - )

12p +8q=28 -----equation 4

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4q = -25

q= -25/4

q = -6.25

substitute q = -6.25 into equation 1

4p + 4q = 1

4p + 4( - 6.25 ) = 1

4p - 25 = 1

4p = 25 + 1

4p = 26

p = 26/4

p = 6.5

therefore p = 6.5, q = -6.25

q to 1 deimal place = -6.3