SOLUTION: I am having problems understanding how to solve these equations as well as graph them. Here are the equations x+y=11 and x-y=1. Please help me understand so I can pass my algebra c

Algebra ->  Graphs -> SOLUTION: I am having problems understanding how to solve these equations as well as graph them. Here are the equations x+y=11 and x-y=1. Please help me understand so I can pass my algebra c      Log On


   



Question 336265: I am having problems understanding how to solve these equations as well as graph them. Here are the equations x+y=11 and x-y=1. Please help me understand so I can pass my algebra class.



Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.x%2By=11
2.x-y=1
Solve them algebraically by adding them together to eliminate y.
x%2By%2Bx-y=11%2B1
2x=12
highlight%28x=6%29
Then go back and use either equation to solve for y.
6%2By=11
highlight%28y=5%29
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You can solve it graphically by plotting the graphs and looking for the intersection point.
To plot each line, find the intercepts.
To find the x-intercept, set y=0 and solve for x.
x%2By=11
x%2B0=11
x=11
(11,0)
Plot it.

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To find the y-intercept, set x=0 and solve for y.
x%2By=11
0%2By=11
y=11
(0,11)
Plot it too.

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Connect these 2 points with the line.
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To find the x-intercept, set y=0 and solve for x.
x-y=1
x-0=1
x=1
(1,0)

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To find the y-intercept, set x=0 and solve for y.
x-y=1
0-y=1
y=-1
(0,-1)

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Connect these 2 points with the line.
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Guess what, the intersection point is (6,5).
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Now you have no excuses for not passing.