One number is 5 more than twice another and their sum is 23. Which of the following system of equations represents the word problem? x + y = 23 and y = 2x + 5 y = x + 5 and y + 2(x + 5) = 23 y = 2(x + 5) and x + y = 23

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One number is 5 more than twice another and their sum is 23. Which of the following system of equations represents the word problem? x + y = 23 and y = 2x + 5 y = x + 5 and y + 2(x + 5) = 23 y = 2(x + 5) and x + y = 23

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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the first one you wrote, or x + y = 23 and y = 2x + 5 represents this word problem. Its easier if you break it down. One number (y) is (=) 5 more than twice another number (2x + 5). So then you get y = 2x + 5. Then, these 2 numbers have a sum of 23, or in other words, are added together to get 23. So, the two numbers (x and y) are added together to get (=) 23. so from there you get x + y= 23. this is why the first choice you wrote is correct. hope i helped!

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