Question

Resuelve el siguiente sistema de ecuaciones
2x - 5y = -12
7x - 2y = -11​

Answer 1

2x - 5y = -12

7x - 2y = -11

Método de igualdad

x1 = -12 + 5y/2

x2 = -11 + 2y/7

-12 + 5y -11 + 2y

______ = _______

2 7

7 (-12 + 5y) = 2 (-11 + 2y)

-84 + 35y = -22 + 4y

35y - 4y = -22 + 84

31y = 62

y = 62/31

y = 2

2x - 5y = -12

2x - 5(2) = -12

2x - 10 = -12

2x = -12 + 10

2x = -2

x = -2/2

x = -1

7x - 2y = -11

7x - 2(2) = -11

7x - 4 = -11

7x = -11 + 4

7x = -7

x = -7/7

x = -1

Comprobación

2x - 5y = -12

2(-1) - 5(2) = -12

-2 - 10 = -12

-12 = -12

7x - 2y = -11

7(-1) - 2(2) = -11

-7 - 4 = -11

-11 = -11

R// x = -1 ; y = 2

Espero haberte ayudado. Suerte en los estudios ≧◠◡◠≦.