lesastigall1993 lesastigall1993
  • 27-12-2018
  • Mathematics
contestada

what is the solution to the system of equations y=x+3, y=3x+1

Respuesta :

gmany
gmany gmany
  • 27-12-2018

Substitution method

y = x + 3   (*)

y = 3x + 1  (**)

Substitute (*) to (**):

3x + 1 = x + 3      subtract 1 from both sides

3x = x + 2       subtract x from both sides

2x = 2        divide both sides by 2

x = 1

Put the value of x to (*):

y = 1 + 3

y = 4

Answer: x = 1 and y = 4 → (1, 4).

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