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Use addition to solve the linear system of equations. Include all of your work in your final answer. \(\left\{ \right.\) 3x-y=6 y=x-4

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Answer:

Solving the given linear system, we get x = 1 and y = -3.

The solution set is: (1,-3)

Explanation:

We need to solve the linear system of equations.


3x-y=6 \\y=x-4

We can write second equation y=x-4 as:
-x+y=-4

Let:


3x-y=6--eq(1)\\ -x+y=-4--eq(2)

Now, Adding equation 1 and 2


3x-y=6\\ -x+y=-4\\--------\\2x+0y=2\\2x=2\\x=(2)/(2)\\x=1

So, we get x = 1

Now, put value of x in second equation to find value of y:


y=x-4\\Put\:x=1\\y=1-4\\y=-3

So, we get y = -3

Solving the given linear system, we get x = 1 and y = -3.

The solution set is: (1,-3)

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