Question

Resolva o sistema abaixo usando a regra de Cramer e assinale a alternativa correta.

2x+y=6
3x-y=4

V = {(2, 1)}

V ={(1, 1)}

V = {(1, 2)}

V = {(2, 2)}

V = {(1, 3)}

Answer 1

Olá

2x+y=6
3x-y=4


Δ=$\left[\begin{array}{ccc}2&1\\3&-1\\\end{array}\right] =(-2-3)=-5$



Δx=$\left[\begin{array}{ccc}6&1\\4&-1\\\end{array}\right] =(-6-4)=-10$



Δy=$\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right] =(8-18)=-10$


Por cramer temos que


$X= \frac{\triangle~x}{\triangle} \\ \\ X= \frac{-10}{-5} \\ \\ X=2 \\ \\ \\ Y= \frac{\triangle~y}{\triangle} \\ \\ Y= \frac{-10}{-5} \\ \\ Y=2$

Conjunto solução {(2,2)}