Which ordered pair (p,r) is the solution to the given system of linear equations?

(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)

3

Step-by-step explanation:

The lights and pole form a right triangle. The question gives the hypotenuse as 5 and one side length as 4.

Use the Pythagorean theorem: .

Plug in what you are given:

b = 3

Or you could recognize that it was a pythagorean triple: 3, 4, 5