02-03-2021
Mathematics

contestada

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

Respuesta :

really226 really226

02-03-2021

Answer:

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

Step-by-step explanation:

3x²+ 2x = y²- y + 50

2x = y +5

y=2x-5, sub into 3x²+ 2x = y²- y + 50

[tex]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\\[/tex]

sub into y=2x-5

y= 35, 3

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