To determine the number of solutions of the system of linear equations, we can look at the coefficients of the variables in the two equations.
The first equation is −x+y=3, which can be rewritten as y = x + 3.
The second equation is −2x+2y=3, which can be rewritten as y = x + 1.
Comparing the two equations, we see that they represent the same line, since they have the same slope (1) and different y-intercepts (3 and 1). Since the two equations are not independent of each other, they represent the same line and therefore have infinitely many solutions.
Therefore, the correct answer is: Infinitely Many Solutions.
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
1 answer