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One Solution, No Solution, or Many Solutions Quick Check

Determine the number of solutions to this system of linear equations:

y=x+5

y=x+5 (1 point)

infinite

00

02

01

1 answer

The two equations given are:

  1. \( y = x + 5 \)
  2. \( y = x + 5 \)

Since both equations are identical, they represent the same line in the coordinate plane. This means that every point on the line is a solution to the system of equations.

Therefore, the system has:

Infinitely many solutions.

So the answer is infinite.