At what point does the graph of the parametric equations x=3-2t y=-2+5t intersect the graph of the parametric equations x=-1+3s y=5-9s? The answer is the point of intersection(x,y).

1 Answer
Vinícius Ferraz
Jun 13, 2018

#(-7,23)#

Explanation:

#t = (3 - x)/2 => y_1 = -2 + 5 * (3 - x)/2#

#s = (x + 1)/3 => y_2 = 5 - 3(x + 1)#

#y_1 = y_2 =>#

#-2 + 5 * (3 - x)/2 = 5 - 3x - 3#

#-4 + 5(3 - x) = 4 - 6x#

#15 - 5x = 8 - 6x#

#x = 8 - 15 = -7#

#y_2 = 5 - 3(-6) = 5 + 18 = 23#

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