Find values of x and y for following
given equations:
Equation 1: y² - 5x = 49
Equation 2: 
x² + y² = 49
In order to solve these
equations lets, subtraction Equation number 1 from equation number 2:
x² + y² = 49
-
-5x + y² = 49
————————
x² + 5x = 0
Now, taking x as common, x (x + 5) = 0
So, we have x = 0 or x = -5
Putting x = 0, in equation 1 , à y² - 5 (0) = 49
à y² = 49
à y = ±7
Putting x = -5 in equation
1, à y² - 5 (-5) = 49
à y² = 49 - 25
à y² = 24
à y = ±
2√6
Hence,
(x, y) = (0, ±7) and (-5, ±2√6)