Jacob walked for x miles and then cycled for y miles between his home and the library. The number of miles Jacob cycled was 3 miles more than twice the number of miles he walked. The total number of miles Jacob walked and cycled was 6 miles. Which graph best shows the number of miles Jacob walked and cycled?

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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Jacob walked for x miles and then cycled for y miles between his home and the library. The number of miles Jacob cycled was 3 miles more than twice the number of miles he walked. The total number of miles Jacob walked and cycled was 6 miles. Which graph best shows the number of miles Jacob walked and cycled?

Algebra
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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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https://gyazo.com/bbc4cf47ae8f0221aa92f44e028cd812 https://gyazo.com/4db8ae3ede69f0c3aa32fbdfb2eb53db @imqwerty
i believe its y = 2x + 3 x + y = 6 substitute first equation into second equation: x + (2x + 3) = 6 3x + 3 = 6 3x = 3 x = 1 using first equation: y = 2(1) + 3 = 5 check using second equation: 1 + 5 = 6 checks x = 1, y = 5 or (1, 5) intersection point Graph (4) is the only one that intersects at (1, 5). but i want to make sure
yes correct :)

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yay . tyvm
np (:

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