The solution for the given linear equation is ( 14, 8, 10 ), that is mentioned in option C.
Step-by-step explanation:
The give linear equations,
[tex]p+q+r = 32[/tex]............................(1)
[tex]p-r = 4[/tex].............................(2)
[tex]2p+q=36[/tex]............................(3)
Step:1
Check for Option A,
A ( 16, 8, 8 ) - ( p, q, r )
Equation (1) becomes,
16 + 8 + 8 = 32
32 = 32
Equation (2) becomes.
16 - 8 = 4
8 ≠ 4
Equation (3) becomes,
2(16) + 8 = 36
40 ≠ 36
Check for Option B,
B ( 14, 10, 8 ) - ( p, q, r )
Equation (1) becomes,
14 + 10 + 8 = 32
32 = 32
Equation (2) becomes.
14 - 8 = 4
6 ≠ 4
Equation (3) becomes,
2(14) + 10 = 36
38 ≠ 36
Check for Option C,
C ( 14, 8, 10 ) - ( p, q, r )
Equation (1) becomes,
14 + 8 + 10 = 32
32 = 32
Equation (2) becomes.
14 - 10 = 4
4 = 4
Equation (3) becomes,
2(14) + 8 = 36
36 = 36
Check for Option D,
D ( 10, 12, 10 ) - ( p, q, r )
Equation (1) becomes,
10 + 12 + 10 = 32
32 = 32
Equation (2) becomes.
10 - 10 = 4
0 ≠ 4
Equation (3) becomes,
2(10) + 12 = 36
32 = 36
Check for Option E,
E ( 10, 15, 10 ) - ( p, q, r )
Equation (1) becomes,
10 + 15 + 10 = 32
35 ≠ 32
Equation (2) becomes.
10 - 10 = 4
0 ≠ 4
Equation (3) becomes,
2(10) + 15 = 36
35 ≠ 36
Result:
The solution for the given linear equation is ( 14, 8, 10 ), that is mentioned in option C.
