SOLUTION: Graph the linear system and tell how many solutions it has. If there is exactly one solution, give the solution 4X-5Y=2 8X+Y=4

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Graph the linear system and tell how many solutions it has. If there is exactly one solution, give the solution 4X-5Y=2 8X+Y=4      Log On


   

Question 224340: Graph the linear system and tell how many solutions it has. If there is exactly one solution, give the solution
4X-5Y=2
8X+Y=4
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the linear system and tell how many solutions it has. If there is exactly one solution, give the solution
4X-5Y=2
8X+Y=4

Step 1. Graphing the above linear system of equations yields the following

graph%28600%2C600%2C+-10%2C10%2C-10%2C10%2C+4x%2F5-1%2F2%2C+-8x%2B4%29

Step 2. Based on the above graph the intersection point is (0.5, 0) or x=0.5 and y=0.

Check if this point (0.5, 0) satisfies the above system of equations and it does.

Step 3. ANSWER: The intersection point (0.5, 0) is a solution to the above system of equations.

I hope the above steps were helpful.

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And good luck in your studies!

Respectfully,
Dr J

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