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P q=20 then 2p q=32. Find p and q

Sagot :

Intriguing456

Answer:

  • p = 12
  • q = 8

Step-by-step explanation:

We are solving for the variables in a system of equations:

[tex]\begin{cases}p+q=20 \\ 2p+q = 32\end{cases}[/tex]

We can eliminate the q by subtracting the first equation from the second equation:

[tex]\text{ }\ 2p+q = 32 \\ \underline{-(p+q=20)}[/tex]

   [tex]p + 0 = 12[/tex]

        [tex]\boxed{p=12}[/tex]

Next, we can solve for q by plugging back in the p-value we solved for:

[tex]p+q = 20[/tex]

[tex]12 + q = 20[/tex]

[tex]\boxed{q = 8}[/tex]

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