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Is the point (0,2) the solution to the system of equations?

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.

User Sasfrog
by
8.1k points

1 Answer

1 vote

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.

User Vernette
by
8.0k points
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