Question

2x-1=y

3x-1=y

Consider the system of equations above. Which of the following statements about this system is true?

Answer 1

The two equations in the given system represent the same line

Step-by-step explanation:

The system of equations given is:

2x - 1 = y

3x - 1 = y

Since both equations are set equal to the same value of y, we can set them equal to each other:

2x - 1 = 3x - 1

Subtracting 2x from both sides, we get:

-1 = x - 1

Adding 1 to both sides, we get:

0 = x

Therefore, the solution to this system of equations is x = 0. This means that the two equations represent the same line, since they have the same solution for x.

Answer 2

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

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