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