Answer:
The solutions are x = 3, y=10 and x=7, y=30.
Explanation:
We use substitution to solve this:
5x - y = 5
y = 5x - 5
Now substitute for y in the second equation:
2y - x^2 = 11 Replace y by 5x - 5:-
2(5x - 5) - x^2 = 11
10x - 10 - x^2 = 11
x^2 - 10x + 21 = 0
(x - 3)(x - 7) = 0
x = 3 , 7.
Now we find the values of y corresponding to these 2 values of x:
When x = 3 ( using y = 5x - 5):
y = 5*3-5 = 10 and
when x = 7
y = 5*7 - 5 = 30.