Question 1088550
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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 = {{{(3-x)/2}}} from the first equation and substitute it to the second equation. You will get


y = 2 + {{{3*((3-x)/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.
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Solved.


Ignore other solution, since it is WRONG.