Respuesta :


[tex]x + 3 = 5x - 17 \\ 20 = 4x \\ x = 5 \\ y = x + 3 \\ y = 5 + 3 = 8 \\ x = 5 \: \: \: \: y = 8[/tex]

Answer:

The correct option is D.

Step-by-step explanation:

The given equations are

[tex]y=5x-17[/tex]               .... (1)

[tex]y=x+3[/tex]                  .... (2)

Substitute the value of y in equation (2) from equation (1).

[tex]5x-17=x+3[/tex]

[tex]5x-x=3+17[/tex]

[tex]4x=20[/tex]

[tex]x=5[/tex]

Put this value in equation (2).

[tex]y=5+3[/tex]

[tex]y=8[/tex]

The solution of the given system of equations is (5,8). Therefore the correct option is D.