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 No Solutions
Show your work. Don't use the matrix method.
First, we can simplify the second equation by dividing by 2 to get:
-x + y = 1.5
Now we have the system of equations:
-x + y = 3
-x + y = 1.5
Subtracting the second equation from the first gives:
3 - 1.5 = 1.5
Since 1.5 is not equal to 0, the equations are inconsistent and there are no solutions.
Therefore, the number of solutions for this system of linear equations is:
No Solutions.