SOLUTION: Find the ordered pair that is a solution to the graphs y=2x+3 y=x-2

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Question 212431: Find the ordered pair that is a solution to the graphs
y=2x+3
y=x-2
Found 2 solutions by checkley77, drj:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
y=2x+3 (red line)
y=x-2 (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x+%2B3%2C+x+-2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2x +3 and x -2).
Solution (-5,-7).

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Find the ordered pair that is a solution to the graphs
y=2x+3
y=x-2
The following solve the system of linear equations by substitution:

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++-2%5Cx+%2B+1%5Cy+=+3%2C%0D%0A++++-1%5Cx+%2B+1%5Cy+=+-2+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
-2%2Ax+=+3+-+1%2Ay, or x+=+3%2F-2+-+1%2Ay%2F-2. Substitute that
into another equation:
-1%2A%283%2F-2+-+1%2Ay%2F-2%29+%2B+1%5Cy+=+-2 and simplify: So, we know that y=-7. Since x+=+3%2F-2+-+1%2Ay%2F-2, x=-5.

Answer: system%28+x=-5%2C+y=-7+%29.



I hope the above steps were helpful. Good luck in your studies!

Respectfully,
Dr J

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