SOLUTION: 3x-2y=12
x+2y=6
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Question 179039This question is from textbook glencoe mathematics
: 3x-2y=12
x+2y=6
This question is from textbook glencoe mathematics
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
3x-2y=12
x+2y=6
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Add to solve for "x":
4x = 18
x = 9/2
============
Substitute to solve for "y":
(9/2) + 2y = 6
2y = 3/2
y = 3/4
==============
Cheers,
Stan H.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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 .
Reduce.
------------------------------------------------------------------
Now go back to the first equation.
Plug in .
Multiply.
Multiply EVERY term by the LCD to clear any fractions.
Multiply.
Subtract from both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
====================================
Answer:
So the solutions are and .
Which form the ordered pair )
.
This means that the system is consistent and independent.
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