Answer:
-10.2 and -7.2
6 and 9
Step-by-step explanation:
Let the numbers be x and y.
x² + y² = 117
y = 2x - 3
x² + (2x - 3)² = 117
x² + 4x² - 12x + 9 = 117
5x² - 12x - 108 = 0
(5x + 18)(x - 6) = 0
5x + 18 = 0 or x - 6 = 0
x = -18/5 or x = 6
x = -3.6 or x = 6
y = 2x - 3
y = 2(-3.6) - 3
y = -10.2
y = 2x - 3
y = 2(6) - 3
y = 9
Answer:
-3.6 and -10.2
6 and 9
