Question

Solve the system:

Answer 1

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

$p=3\times0-1=-1.$

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

Option (c) is CORRECT.

Answer 2

It is c. hope this helps (: