SOLUTION: x+y=7
x-y=1
Solve the system of equations by graphing. Then classify the system.
Use the graphing tool to graph the system. If both equations yield the same line, graph the
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Question 198271: x+y=7
x-y=1
Solve the system of equations by graphing. Then classify the system.
Use the graphing tool to graph the system. If both equations yield the same line, graph the line twice.
Found 2 solutions by arallie, jim_thompson5910:
Answer by arallie(162) (Show Source): You can put this solution on YOUR website!
and
Add
Simplify
Substitute
Solve
Check
Check
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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