Respuesta :

reecerose65

Answer:

the problem has an infinite number of solutions

Explanation:

3x - 12y = 6

x - 4y = 2

make the coefficient of x same by multiplying the entire following by 3

⇒ ( x - 4y = 2 ) * 3

⇒ 3x - 12y = 6 __ equation 2

3x - 12y = 6 __ equation 1

solving using elimination method:

3x - 12y = 6

3x - 12y = 6

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0

3x-12y=6

  • x-4y=3--(1)
  • x-4y=2--(2)

Lets convert to slope intercept form

  • 4y=x-3
  • 4y=x-2

Slopes are equal so lines are parallel

Hence no solutions