SOLUTION: What is the point of intersection/whether the point is a solution for: x + 3 y = 15 2x - 3y = - 16 Thanks. x

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Question 804940: What is the point of intersection/whether the point is a solution for:
x + 3 y = 15
2x - 3y = - 16
Thanks. x
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
x+%2B+3y+=+15....eq.1
2x+-3y+=+-+16...eq.2
_______________________________add eq.1 and eq.2
x%2B2x+%2B+3y-3y+=+15-16
3x++=++-1
x++=++-1%2F3......plug in eq.1 or eq.2 and find y
-1%2F3+%2B+3y+=+15....eq.1
++3y+=+15%2B1%2F3
++3y+=+45%2F3%2B1%2F3
++3y+=+46%2F3
++y+=+%2846%2F3%29%2F3
++y+=+46%2F9
so, intersection point is at (-1%2F3,46%2F9)

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-x%2F3%2B15%2F3%2C2x%2F3%2B16%2F3%29+