Question

Resolver el siguiente sistema de ecuaciones:

3x^2 - 2y^2 = - 6

x - y = 5

Answer 1

3x² - 2y² = - 6

x - y = 5

 

3x² - 2y² = - 6

x=5+y

 

3(5+y)²-2y²=-6

3(25+10y+y²)-2y²=-6

75+30y+3y²-2y²+6=0

y²+30y+81=0

y²+27y+3y+81=0

y(y+27)+3(y+27)=0

(y+3)(y+27)=0

y=-3 ∨ y=-27

 

x=5+(-3) ∨ x=5+(-27)

x=2 ∨ x=-22

 

(2,-3),(-22,-27)