Question

2x + 5y = -1 3x - y = 7​

Answer 1

Respuesta:

x = 2

y = -1

Explicación paso a paso:

Sistemas:

2x + 5y = -1

3x - y = 7

Despeja x en 2x + 5y = -1:

2x + 5y = -1

2x = -1 - 5y

x = [tex]\frac{-1}{2} -\frac{5y}{2}[/tex]

x = [tex]\frac{-1-5y}{2}[/tex]

Remplaza x en 3x - y = 7:

3x - y = 7

3([tex]\frac{-1-5y}{2}[/tex]) - y = 7

[tex]-\frac{3+17y}{2} =7[/tex]

-3 - 17y = 14

-17y = 17 + 3

-17y = 17

y = [tex]\frac{17}{-17}[/tex]

y = -1

Remplaza y en 2x + 5y = -1:

2x + 5y = -1

2x + 5(-1) = -1

2x + (-5) = -1

2x - 5 = -1

2x = -1 + 5

2x = 4

x = [tex]\frac{4}{2}[/tex]

x = 2