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(5,0) is a solution to the equation y = 5x + 5.
(a) True
(b) False

1 Answer

3 votes

Final answer:

The point (5,0) is not a solution to the equation y = 5x + 5 because substituting x = 5 into the equation yields y = 30, which does not match the y-value of the point.

Step-by-step explanation:

The point (5,0) is not a solution to the equation y = 5x + 5. To verify if a point is a solution to an equation, you substitute the x-value of the point into the equation and check if the resulting y-value equals the y-value of the point. In this case, if we substitute x = 5 in the equation, we get y = 5(5) + 5, which simplifies to y = 25 + 5 or y = 30. This does not match the y-value of the point, which is 0. Therefore, the statement is false. Similarly, to answer other true or false questions about mathematics, you would perform the relevant calculation or logical reasoning to find the correct answer.

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