Solve the following system by the comparison method.

2p + q = 1
9p + 3q + 3 = 0

what is the solution set?

{(-2, 5)}
{(2, -5)}
{(-2, -5)}

Solution set is {-2,5}  

First option is correct!

Step-by-step explanation:

2p+q = 1 ,solving the equation for q

 q = 1-2p   equation (1)

9p+3q+3=0,dividing the equation by 3

3p+q+1=0, using substituting method

3p+(1-2p)+1=0

3p-2p+2  =0

p  +2 =0

p=-2

substituting the value of p in q=1-2p ,we get

                       q = 1-2(-2) = 1+4 =5

solving it for p and q ,we get (-2,5)  solution set is {(-2,5)}

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step-by-step explanation:

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