Question

What is the solution set to the following system? x+y=5 x^2 + y^2 = 25​

Answer 1

Answer:

D (0, 5), (5, 0)

Step-by-step explanation:

Anything with -5 and 0 will not satisfy x+y=5. This eliminates the first three choices.

It is easiest to check the offered answers. You can also solve this graphically, or by solving the simultaneous equations.

You can, for example, square the first equation and subtract the second:

... (x+y)² -(x²+y²) = 5² -25

... 2xy = 0

This will be true for x=0 or for y=0, so (0, 5) and (5, 0) are solutions to the pair of equations.

Answer 2

Answer:

(0, 5)

Step-by-step explanation:

Graph them both