Question

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

Answer 1

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
--------------
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).