apodacaanelyz apodacaanelyz
  • 17-06-2021
  • Mathematics
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Which ordered pair (p,r) is the solution to the given system of linear equations?

Which ordered pair pr is the solution to the given system of linear equations class=

Respuesta :

Adetunmbiadekunle Adetunmbiadekunle
  • 22-06-2021

Answer:

(p,r) = (1/3, 2/9)

Step-by-step explanation:

Here, we want to solve a system of equations

We can rewrite the second equation by dividing through by 2

So we have;

4p + 3r = 2

and

5p - 3r = 1

Add both equations:

9p = 3

p = 3/9

p = 1/3

Recall ;

5p - 3r = 1

3r = 5p - 1

Substitute the value or p here

3r = 5(1/3)-1

3r = 5/3 - 1

3r = 2/3

r = 2/9

So we have the solution set as;

(p,r) = (1/3 , 2/9)

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