5x - y =5
2y - x^2 = 11
Adding y and subtracting 5 to both sides on the top equation, we have:
y = 5x - 5
Substituting y = 5x - 5 into the bottom equation, we have:
10x - 10 - x^2 = 11
x^2 -10x + 21 = 0.
( x - 3 ) ( x - 7 ) = 0
x = 3, x = 7
Solving for y, we have: y = 30, y = 10.
You can also graph the functions on desmos.com and then find the intersection points.
I hope this helped,