Determine if the point (−1,1) is a solution to the system of equations.
x+2y=5
x−y=−2
Yes, it is a solution.
No, it is not a solution.
To determine if the point (-1,1) is a solution to the system of equations, we substitute x=-1 and y=1 into the equations to see if they satisfy both equations.
For the first equation:
(-1) + 2(1) = -1 + 2 = 1 which is not equal to 5.
For the second equation:
(-1) - 1 = -2 which is true.
Since the first equation is not satisfied, (-1,1) is not a solution to the system of equations.
Therefore, No, it is not a solution.