Use addition to solve the linear system of equations. Include all of your work in your final answer.
{3x-y=6
{y=x-4
To solve the system of equations using addition, we want to eliminate one variable by adding the two equations together. Let's add the equations as they are:
3x - y = 6
+ y = x - 4
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3x = 2
Now we have one equation with one variable, so we can solve for x:
3x = 2
x = 2/3
We can substitute this value of x back into either equation to solve for y:
y = x - 4
y = (2/3) - 4
y = -10/3
The solution to the system of equations is (2/3, -10/3).