Question

x=2x+1
x=3x-1

x-2y +1
2x+y= -4

2x-3y= -1
5x-7y= -1

Ecuaciones Lineales 2X2 <3

Answer 1

Respuesta:

a) x = 2

b) x = -7/5,  y = -6/5

c) x = 4, y = 3

Explicación:

x=2x+1

x=3x-1

2x + 1 = 3x - 1

2x - 3x = - 1 - 1

-x = -2

x = 2

x - 2y = 1    L1

2x +  y = -4 L2

2L1 - L2

2x - 4y = 2

-2x -   y = 4

      -5y = 6

      y = -6/5

x - 2y = 1  

x - 2(-6/5) = 1

x + 12 / 5 = 1

x = 1 - 12/5

x = -7/5

2x - 3y = -1    L1

5x - 7y = -1   L2

5L1-2L2

10x - 15y = -5

-10x + 14y = 2

            -y = -3

           y = 3

2x - 3y = -1

2x - 3(3) = -1

2x - 9 = -1

2x = -1 + 9

2x = 8

x = 8/2

x = 4