SOLUTION: Solve the following system by elimination {3x + y = -26 {2x - y = -19

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve the following system by elimination {3x + y = -26 {2x - y = -19      Log On


   



Question 1134397: Solve the following system by elimination
{3x + y = -26
{2x - y = -19

Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
{3x + y = -26
{2x - y = -19
--------------------- Add

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
3x+%2B+y+=+-26....eq.1
2x+-+y+=+-19....eq.2
----------------------------------add both
3x+%2B+y+%2B2x+-+y+=+-26-19
3x+%2B+cross%28y%29+%2B2x+-+cross%28y%29+=+-26-19
3x++%2B2x++=+-45
5x++=+-45
x++=+-45%2F5
highlight%28x++=+-9%29

go to 3x+%2B+y+=+-26....eq.1, plug in x value
3%28-9%29+%2B+y+=+-26....solve for y
-27+%2B+y+=+-26
+y+=+27-26
+highlight%28y+=+1%29

solution: intersection point at (+-9,+1)

+graph%28+600%2C+600%2C+-15%2C+10%2C+-10%2C+10%2C+-3x-26%2C+2x%2B19%29+