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)   (Show Source): You can put this solution on YOUR website!
y=2x+3 (red line)
y=x-2 (green line)
(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)   (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:
We'll use substitution. After moving 1*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=-7. Since , x=-5.

Answer: .



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

Respectfully,
Dr J

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra.

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