Question

G+p+j=50
3g-5j=35+2p
g=3j+p

Answer 1

Hence the value of :

j is 10 ,

p is 5 , and

g is 35

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