Solve the system of equations:

x = 2uy - 8

4x + y = 13




A)x = 2 and y = -5

B)x = 2 and y = 5

C)x = -2 and y = -5

D)x = -2 and y = 5

Respuesta :

Answer:

[tex]\displaystyle x = 2\:and\:y = 5[/tex]

Step-by-step explanation:

{x = 2y - 8

{4x + y = 13

13 = 4[2y - 8] + y

13 = 8y - 32 + y

13 = −32 + 9y

+ 32 + 32

____________

[tex]\displaystyle \frac{45}{5} = \frac{9y}{9}[/tex]

[tex]\displaystyle 5 = y[/tex][Plug this back into both equations above to get the x-coordinate of 2]; [tex]\displaystyle 2 = x[/tex]

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