SOLUTION: Find the point of intersection of the lines with the given equations. 3x + 4y = -6 and 2x + 5y = -11

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Question 633458: Find the point of intersection of the lines with the given equations.
3x + 4y = -6 and 2x + 5y = -11

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The coordinates of the point of intersection are the x and y that are solutions to the system
system%283x+%2B+4y+=-6%2C2x+%2B+5y+=-11%29
All we have to do is solve the system.
There are many ways to do it.
Graphing the lines may suggest a solution, which we need to verify.
With just pencil and paper, that would be time consuming and cumbersome).
Probably the best way is elimination.
If we add the first equation times (-2),
-6x-8y=12 , plus the second equation times 3,
6x%2B15y=-33 , we eliminate x to get
7y=-21 --> highlight%28y=-3%29
Substituting y=-3 into 3x+%2B+4y+=-6 we get
3x%2B4%28-3%29=-6 --> 3x-12=-6 --> 3x=-6%2B12 --> 3x=6 --> highlight%28x=2%29
The lines intersect at (2,-3).