In the system shown below, what are the coordinates of the solution that lies in quadrant iv? x2+y2=25 x-y2=-5

, or as an ordered pair: (4, -3)

Step-by-step explanation:

We have the system of equations

(1)

(2)

Let's solve our system step-by-step:

Step 1. Solve for in equation (1)

(3)

Step 2. Replace equation (3) in equation (2) and solve for

Remember that in the fourth quadrant x is positive and y is negative, so we are taking the positive value of x; in other words (4)

Step 3. Replace equation (4) (the positive value of x) in equation (1)

Since y is negative in quadrant IV, we take

We can conclude that the solution of our system of equations that lies in the quadrant IV is , or as an ordered pair: (4, -3)