if p+q= 4, q+r= -2,r+p= 3 then p+q+r =? a) 2/5 b) 5/2 c) 6/2 d) 5

Question

if p+q= 4, q+r= -2,r+p= 3 then p+q+r =?
a) 2/5 b) 5/2 c) 6/2 d) 5 e) 6

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Rylee 2 weeks 2021-09-12T08:10:10+00:00 1 Answer 0

Answers ( )

    0
    2021-09-12T08:12:00+00:00

    Answer:

    5/2

    Step-by-step explanation:

    We are looking for p+q+r.

    We are given:

    p+q    =4          Equation 1.

        q+r=-2         Equation 2.                  

    p     +r=3.          Equation 3.

    I’m going to solve the first equation for p giving me p=4-q.

    I’m going to solve the second equation for r giving me r=-2-q.

    I’m going to plug this into the third equation.

    p      +r=3

    (4-q)+(-2-q)=3

    4-q+-2-q=3

    Combine like terms:

    2-2q=3

    Subtract 2 on both sides:

     -2q=1

    Divide both sides by -2:

        q=-1/2.

    Plug into the first equation to find p now.

    First equation is p+q=4 with q=-1/2.

    p+q=4

    p+(-1/2)=4

    Add 1/2 on both sides

    p=4+1/2

    p=9/2.

    Let’s find r now.

    Using the second equation with p=9/2 and/or q=-1/2 we have:

    q+r=-2  

    -1/2+r=-2

    Add 1/2 on both sides

          r=-2+1/2

          r=-3/2

    So what is p+q+r?

    Let’s plug in our p,q, and r and find out!

    p+q+r

    9/2+-1/2+-3/2

    9/2-4/2

    5/2

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