SOLUTION: y=2x-5 and y+1=2(x-2)addition method and is it independent, dependent or inconsistent.
x+y=4 and x-y=5 addition method is it independent, dependent or inconsistent.
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Question 319716: y=2x-5 and y+1=2(x-2)addition method and is it independent, dependent or inconsistent.
x+y=4 and x-y=5 addition method is it independent, dependent or inconsistent.
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the second one and let you do the first.
# 2
Start with the given system of equations:
Add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:
Group like terms.
Combine like terms.
Simplify.
Divide both sides by to isolate .
------------------------------------------------------------------
Now go back to the first equation.
Plug in .
Multiply both sides by the LCD to clear any fractions.
Distribute and multiply.
Subtract from both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
So the solutions are and .
Which form the ordered pair )
.
This means that the system is consistent and independent.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
y=2x-5 and y+1=2(x-2)addition method and is it independent, dependent or inconsistent.
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y=2x-5 and y+1=2(x-2)
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Rearrange the two equations:
y - 2x = -5
y - 2x = -5
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They are the same so they are dependent.
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x+y=4 and x-y=5 addition method is it independent, dependent or inconsistent.
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x+y = 4
x-y = 5
---
Add to get:
2x = 9
x = 9/2
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Since x+y = 4, y = -1/2
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With a single solution they are independent.
===============================================
Cheers,
Stan H.
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