Question

Solve 5x-y=5 and 2y-x^2=11 without using trial improvement

Answer 1

Answer:

x = 7, y = 30  and  x = 3, y = 10

Step-by-step explanation:

5x - y = 5, then y = 5x - 5

2y - x^2 = 11

2(5x - 5) - x^2 = 11

10x - 10 - x^2 = 11

-x^2 + 10x -10 = 11

-x^2 + 10x -21 = 0

x^2 - 10x + 21 = 0

(x - 7)(x - 3) = 0

x = 7, y = 30

x = 3, y = 10