Question

Solve the non-linear system by substitution:
2x+y=x^2+1
y=x+1

Answer 1

(0,1) and (3,4)

y = 4 when x = 3 and y = 1 when x = 0

Explanation:

2x + y = x² + 1

y = x + 1

i will substitute 'x+1' for 'y' into the first equation to get:

2x + x + 1 = x² + 1

3x + 1 = x² + 1

3x = x²

x² - 3x = 0

x(x - 3) = 0

x = 0 and x = 3