A system of equations is given below. y=1/2x-3 and y=1/2x-3 Which of the following statements best describes the two lines? They have the same slope but different y-intercepts, so they have no solution. They have the same slope but different y-intercepts, so they have one solution. They have different slopes but the same y-intercept, so they have no solution. They have different slopes but the same y-intercept, so they have one solution.

Question

Mathematics

Margaret Faulkner

30 January, 03:26

A system of equations is given below. y=1/2x-3 and y=1/2x-3 Which of the following statements best describes the two lines? They have the same slope but different y-intercepts, so they have no solution. They have the same slope but different y-intercepts, so they have one solution. They have different slopes but the same y-intercept, so they have no solution. They have different slopes but the same y-intercept, so they have one solution.

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Answers (1)

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Everett Evans · Answer 1

They both have the same slope (1/2) and the same y intercept (-3) so there are infinitely many solutions.

If you need to solve it:

1/2x-3=1/2x-3

Add 3 to both sides

1/2x=1/2x

Multiply by 2x

1=1

There are no variables in the answer so it has infinitely many solutions.