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vichka [17]
3 years ago
11

Solve the system:

Mathematics
2 answers:
Charra [1.4K]3 years ago
7 0

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.

scoray [572]3 years ago
4 0
It is c. hope this helps (:
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