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You're looking to combine these two equations into one that uses only the terms x and y, right? In that case, we can take either of those equations, solve it for t, and plug it's results in place of t in the other equation:

x = -3t + 4

y = t + 1

y - 1 = t

x = -3(y - 1) + 4

x = -3y + 3 + 4

x = 7 - 3y

You can of course solve this for y as well:

-3y = x - 7

y = (7 - x) / 3

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12y ago
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Q: Which equation is an xy-equation for the parametric equations x equals -3t plus 4 and y equals t plus 1 where 1 t 4?
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