For the following system, determine the values of p, q, and r that satisfy all three equations: 2p+q-r=8, q+r=4, p-q=2

Answer

given,

2 p+ q - r = 8 (1)

q + r = 4(2)

p - q = 2(3)

solving equation (1) and (2)

2p + 2 q = 12

p + q = 6(4)

now, solving equation 3 and 4

2 p = 8

p = 4

putting value of p in equation (4)

q = 6 -4

q = 2

putting value in equation (2)

2 + r = 4

r = 2