Question

Solve the simultaneous equations 3x²+ 2x = y²- y + 50, 2x = y +5.​

Answer 1

(x,y) = (4,3), (20,35)

Explanation:

3x²+ 2x = y²- y + 50

2x = y +5

y=2x-5, sub into 3x²+ 2x = y²- y + 50

`3x^2+2x=(2x-5)^2-(2x-5)+50\\3x^2+2x=4x^2-20x+25-2x+5+50\\0=x^2-24x+80\\x=20 ,4\\`

sub into y=2x-5

y= 35, 3