Answer:
Hence the value of :
j is 10 ,
p is 5 , and
g is 35
Step-by-step explanation:
The given three equations are as follows :
g + p + j = 50 ......... 1
3g - 5j = 35 + 2p ....... 2
g = 3j + p ......... 3
Put the value of g from eq 3 in eq 1
So, (3j + p) + p + j = 50
Or, 4j + 2 p = 50
Or, 2j + p = 25 ........4
Again put the value of g in eq 2
So, 3 (3j + p) - 5j = 35 + 2p
Or, 9j + 3p - 5j = 35 + 2p
Or, 4j - p = 35 .........5
Solve eq4 and eq 5
SO, (2j +p) + (4j -p) = 25 + 35
Or, 6j = 60
∴ j = 10
Again put the value of j in eq 5
So, 4 (10) - p = 35
Or, 40 - p = 35
or, p = 40 - 35
∴ p = 5
Again put the value of p and j in eq 3
So , g = 3 (10 ) + 5
or, g = 30 + 5 = 35
∴ g = 35
Hence the value of j is 10 , p is 5 , and g is 35 Answer
