Question

Solve the system:

p-3q=-1
-5p+16q=5
a. (2,1)
b.(3,3)
c. (-1,0)
d.(5,2)

Answer 1

it is c. hope this helps (:

Answer 2

Answer: The correct option is

(c) (-1, 0).

Step-by-step explanation: We are given to solve the following system of equations :

`p-3q=-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-5p+16q=5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)`

From equation (i), we have

`p-3q=-1\\\\\Rightarrow p=3q-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)`

Substituting the value of p from equation (iii) in equation (ii), we get

`-5(3q-1)+16q=5\\\\\Rightarrow -15q+5+16q=5\\\\\Rightarrow q=5-5\\\\\Rightarrow q=0.`

From equation (i), we get

`p=3*0-1=-1.`

Thus, the required solution is (p, q) = (-1, 0).

Option (c) is CORRECT.