Graph the two equations to solve the system. What is the solution?
3x - 2y = 6 and 5x + 3y = -9
A. (4, 3)
B. (5, 4.5)
C. (0, -3)
D. infinitely many solutions
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C. Plug the points in and see which one makes both sentences true.
I would plot the two lines by locating their two respective intercepts by letting x=0 then y=0
@Luis They don't even have the same slope. How could they be the same line and have infinitely many solutions?
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3x-2y=6 when x=0, y=-3 (0,-3) when y=0 x=2(2,0)
5x+3y=-9, when x=0, y=-3 (0,-3) when y=0, x=-9/5)
Now draw each line using the two points for each respective line. If and where the lines intersect, that will be the answer
@ Luis Well, they are not parallel but even if they were, there would be NO solution not infinitely many.
@ Luis The slope of the first one is 3/2. The slope of the second is -5/3 so they are clearly not parallel.