SOLUTION: how do i eliminate x+5y=17 -4x-3y=24 ?
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Question 171367This question is from textbook
: how do i eliminate x+5y=17 -4x-3y=24 ?
This question is from textbook
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system of equations:
Multiply the both sides of the first equation by 4. This will make the "x" coefficients equal but opposite (which will mean that they will cancel).
Distribute and multiply.
So we have the new system of equations:
Now 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. Notice how the x terms cancel out.
Simplify.
Divide both sides by to isolate .
------------------------------------------------------------------
Now go back to the first equation.
Plug in .
Multiply.
Multiply EVERY term 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 .
Reduce.
So the solutions are and .
Which form the ordered pair )
.
This means that the system is consistent and independent.
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