5p-2q=1,4p+5q=47?

(5p - 2q = 1) 5
- (4p + 5q = 47)2
33p =99

p = 3

q = 7

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5p - 2q = 1 (solve using substitution)
4p + 5q = 47

5p - 2q = 1
2q = 5p - 1
q = (5p - 1)/2
5q = 5(5p - 1)/2

4p + 5q = 47
4p + 5(5p - 1)/2 = 47
2[4p + (25p - 5)/2] = 2(47)
8p + 25p - 5 = 94
33p = 94 + 5
33p = 99
p = 99/33
p = 3

5p - 2q = 1
5(3) - 2q = 1
15 - 2q = 1
2q = 15 - 1
2q = 14
q = 14/2
q = 7

∴ p = 3 , q = 7

(5p - 2q = 1) 5
- (4p + 5q = 47)2
----------------------------
33p =99

p = 3
and
q = 7

25p - 10q = 5
8p + 10q = 94------ADD

33p = 99
p = 3

12 + 5q = 47
5q = 35
q = 7

p = 3 , q = 7