Final answer:
Yes, (0,2) is a solution to the system of equations. Option 1 is correct.
Step-by-step explanation:
To determine if the point (0,2) is a solution to the system of equations x+3y=6 and -x+4y=8, we need to substitute the values of x and y into both equations.
For x+3y=6:
0 + 3(2) = 6
6 = 6
So the point satisfies the first equation.
For -x+4y=8:
-(0) + 4(2) = 8
8 = 8
The point satisfies the second equation as well.
Therefore, the point (0,2) is indeed a solution to the system of equations. Option 1 is correct.
COmplete question:
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Is the point (0,2) the solution to the system of equations?
x+3y=6,
−x+4y=8
Options:1: Yes, (0,2) is a solution to the system of equations.
Options2: No, (0,2) is not a solution to the system of equations.
Options:3: Insufficient information to determine.
Options:4: The question is incomplete.