SOLUTION: Eliminate the parameter in the equation x=3-2t, y=2+3t to find the corresponding rectangular equation.

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:

Answer by Alan3354(69443)   (Show Source): 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
===========
y=2+3t
y = 2 + 3*((x-3)/2) = 2 + (1/2)*(3x-9)
2y = 3x - 9

Answer by ikleyn(52776)   (Show Source): 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.
~~~~~~~~~~~~~~~~~~

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.

Solved.

Ignore other solution, since it is WRONG.

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