SOLUTION: 2x+ 5y = 16 5x-2y=11 How to Graph each system of equation then determine if the systme has one solution or no solution or infinity many solution

Question 184683This question is from textbook
: 2x+ 5y = 16 5x-2y=11
How to Graph each system of equation then determine if the systme has one solution or no solution or infinity many solution This question is from textbook

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2x+ 5y = 16 5x-2y=11
How to Graph each system of equation then determine if the system has one solution or no solution or infinity many solution
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Solve each for "y":
y = (-2/5)x + (16/5)
y = (5/2)x - (11/2)
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To graph, determine two points from each equation; plot them; draw a line.
Graph y = (-2/5)x + (16/5)
Let x = 0, then y = (16/5) giving you point (9,16/5)
Let x = 5 , the y = -2 + (16/5) = 6/5 giving you point (5,6/5)
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Graph y = (5/2) - (11/2)
Let x = 0, then y = -11/2 giving you (0,-11/2)
Let x = 2, then y = 5 - 11/2 = -1/2 giving you (2,-1/2)
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The product of the slopes is -1 so the lines are perpendicular.
the system has one solution.
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Cheers,
Stan H.

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