what is the solution to the following system y=1/2x+3 x=15-y

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what is the solution to the following system y=1/2x+3 x=15-y

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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Rearrange either the first equation to solve for x, or the 2nd equation to solve for y. Then sub the rearranged equation into the other, unchanged equation.
You know x = 15 - y, so we can use that in the first equation. y = 1/2(15 - y) + 3 y = 7.5 - 1/2y +3 y = 10.5 - 1/2y 1.5y = 10.5 y = 7 Now put y = 7 into the second equation. x = 15 - 7 x = 8 Put x = 8 and y = 7 into both equations and check your answer.
A bit wordy there Blur. Try and let the student do their studying for themselves. They are potentially good enough.

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