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

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) (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

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),
, plus the second equation times 3,
, we eliminate to get
-->
Substituting into we get
--> --> --> -->
The lines intersect at (2,-3).

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