SOLUTION: An equation is shown below: 5x - y = 8 Explain how you will show all of the solutions that satisfy this equation. Determine three different solutions for this equation.

Algebra ->  Graphs -> SOLUTION: An equation is shown below: 5x - y = 8 Explain how you will show all of the solutions that satisfy this equation. Determine three different solutions for this equation.       Log On


   

Question 984539: An equation is shown below:
5x - y = 8
Explain how you will show all of the solutions that satisfy this equation.
Determine three different solutions for this equation.
Write an equation that can be paired with the given equation in order to form a system of equations that is inconsistent.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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5x-y=8
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The easiest way to show all solutions is a graph:
All points on the line are solutions,
the extended line represents all solutions.
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+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+5x-8%29+
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Determine three different solutions for this equation.
Choose any x and solve for y, or y and solve for x:
Let x=0:
5x-y=8
5(0)-y=8
y=-8
Solution 1: (0,-8)
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Let y=0:
5x-y=8
5x-0=8
5x=8
x=8/5
Solution 2: (8/5,0)
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Let x or y=2
5x-y=8
5(2)-y=8
10-y=8
-y=-2
y=2
Solution 3: (2,2)
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Write an equation that can be paired with the given equation in order to form a system of equations that is inconsistent.
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Parallel lines form inconsistent systems (no common solution:
5x-y=8 Convert to slope intercept form
y=5x-8 Any line with slope=5 will work.
y=5x+8 This line is parallel to the given.
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Inconsistent system:
5x-y=8
5x-y=-8