SOLUTION: Solve the equations by graphing. Then classify the system.
x+y=9
x-y=5
What is the solution to the system? ________
Is the system consistent or inconsistent? ___
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Question 161077: Solve the equations by graphing. Then classify the system.
x+y=9
x-y=5
What is the solution to the system? ________
Is the system consistent or inconsistent? ___
Are the equations dependent or independent? ______
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system of equations:
In order to graph these equations, we must solve for y first.
Let's graph the first equation:
Start with the first equation.
Subtract from both sides.
Rearrange the terms and simplify.
Now let's graph the equation:
Graph of .
-------------------------------------------------------------------
Now let's graph the second equation:
Start with the second equation.
Subtract from both sides.
Divide both sides by to isolate .
Rearrange the terms and simplify.
Now let's graph the equation:
Graph of .
-------------------------------------------------------------------
Now let's graph the two equations together:
Graph of (red). Graph of (green)
From the graph, we can see that the two lines intersect at the point )
. So the solution to the system of equations is . This tells us that the system of equations is consistent and independent.
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