The system of equations (4x+6y = 24 has exactly one (x, y) pair for its solution. 2x + y = 8
If we add the two equations in the original system, we have 6x+7y=32. Explain why the same (x, y) pair is also a solution to this equation.

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Rachel is studying the population of a particular bird species in a national park. she observes every 10th bird of that species that she can find in the park. her conclusion is that the birds living in the park who belong to that species generally feed on insects. rachel's sample is . based on the sample she picked, rachel's generalization is . reset next

The coordinate grid shows a pentagon. the pentagon is translated 3 units to the right and 5 units up to create a new pentagon. what is the rule for the location of the new pentagon?