Question 1088550: Eliminate the parameter in the equation x=3-2t, y=2+3t to find the corresponding rectangular equation. Found 3 solutions by MathLover1, Alan3354, ikleyn:Answer by MathLover1(20849) (Show Source):
You can put this solution on YOUR website! Eliminate the parameter in the equation ,
to find the corresponding rectangular equation
The variable in the parametized equations is "the same" : Both and are defined in terms of the same variable .
So in solving for in terms of , we have: , we can use this "definition" of by substituting it into the equation for :
.......substitute
...this gives us function which is a line
or, in standard form:
You can put this solution on YOUR website! Eliminate the parameter in the equation x=3-2t, y=2+3t to find the corresponding rectangular equation.
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x=3-2t
t = (x-3)/2
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y=2+3t
y = 2 + 3*((x-3)/2) = 2 + (1/2)*(3x-9)
2y = 3x - 9
You can put this solution on YOUR website! .
Eliminate the parameter in the equation x=3-2t, y=2+3t to find the corresponding rectangular equation.
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Eliminating the parameter is quite simple in this case.
Express t = from the first equation and substitute it to the second equation. You will get
y = 2 + .
Multiply by 2 both sides to get
2y = 4 + 3*(3-x) = 4 + 9 - 3x = 13 - 3x, or, which is equivalent,
3x + 2y = 13.
