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

Question

−x+y=3


−2x+2y=3


This question requires you to show your work.

(1 point)
Responses

Infinitely Many Solutions
Infinitely Many Solutions

One Solution
One Solution

No Solutions

Answer 1

One Solution

First, let's rewrite the system of equations in standard form:

1) -x + y = 3
2) -2x + 2y = 3

We can simplify equation 2 by dividing by 2:

2) -x + y = 1.5

Now we can see that equation 1 and equation 2 are equivalent. They represent the same line.

Since the two equations represent the same line, there is only one unique solution to the system of equations.