santiagojaime
Answered

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Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
x+4y=1
2x+8y=2

Sagot :

Answer:

  • Infinitely many solutions

Step-by-step explanation:

First, let's organize the equations of the lines into slope-intercept form.

  • x + 4y = 1
  • => 4y = -x + 1
  • => y = -x/4 + 1/4

And,

  • 2x + 8y = 2
  • => 8y = -2x + 2
  • => y = -2x/8 + 2/8
  • => y = -x/4 + 1/4

Since both the graphs are the same, the two equations have infinitely many solutions.

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