Answer:
The solution set is { (3, 4), (5 , 0) }.
Explanation:
x^2 + y^2= 25
2x + y = 10
We use substitution:
From the second equation y = 10 - 2x.
Substituting for y in the first equation:
x^2 + (10 -2x)^2 = 25
x^2 + 100 - 40x + 4x^2 - 25 = 0
5x^2 - 40x + 75 = 0
Divide through by 5:
x^2 - 8x + 15 = 0
(x - 3)(x - 5) = 0
x = 3, 5.
when x = 3 , y = 10 - 2(3) = 4.
when x = 5, y = 10 - 2(5) = 0.