Linear Combination

14x+4y=-2
3x-4y=19

14x+4y=-2
3x-4y=19
We are going to do a linear combination problem and the first thing that you would need to do is make either the "x"'s or the "y"'s opposite equals, so that they cancel each other out.
14x=-2
3x=19
The "y"'s cancel out and you are left with this so now you must add these together.
17x=17
Then, get the variable on one side by itself by divideing "both" sides by 17.
x=1
Now, "substitute" the "x" back into either on of the original equations.
3(1) -4y=19
Distribute the "1" to the 3.
3-4y=19
Combine like terms.
-4y=16
A variable can't have a coefficent so you must divide both sides by -4.
y=-4
Now, you must put the "x" and "y" into a coordinate pair.
(1,-4)
This is the final answer. 

 

The Final Answer:
(1,-4)

 

*Try to plug what you think is the answer back into the eqations
to see if they work to double check if your right.*
 

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