Question

- Solve for p and q:
31 p + 57 q = 150
57 p + 31 q = 202

Answer 1

Answer:

p=3 and q=1

Step-by-step explanation:

31p +57q = 150 -(1)

57p + 31q = 202 -(2)

adding eq (1) +((2)

31p+57q+57p +31q = 150+202

88(p+q) = 352

(p+q) =352/88

(p+q)=4 -(3)

subtracting eq (2) from eq (1)

57p -31q -31p +57q = 202-150

26(p-q) =52

(p-q) =52/26

(p-q) =2 -(4)

from eq (3) and (4)

2p=6

p=3 -(5)

put in eq (3)

3+q=4

q =4-3

q =1