In order to solve this equation, we must first isolate the absolute value. In this case, we do it by dividing both sides by which leaves us with:

When we work with absolute value equations, we're actually solving two equations. So, our next step is to set up these two equations:

and

In both cases we solve for by adding to both sides, leaving us with

and

This can be rewritten as

In order to solve this equation, we must first isolate the absolute value. In this case, we do it by dividing both sides by which leaves us with:

When we work with absolute value equations, we're actually solving two equations. So, our next step is to set up these two equations:

and

In both cases we solve for by adding to both sides, leaving us with

and

This can be rewritten as

In order to solve this equation, we must first isolate the absolute value. In this case, we do it by dividing both sides by which leaves us with:

When we work with absolute value equations, we're actually solving two equations. So, our next step is to set up these two equations:

and

In both cases we solve for by adding to both sides, leaving us with

and

This can be rewritten as

When we work with absolute value equations, we're actually solving two equations:

and

Adding to both sides leaves us with:

and

Dividing by in order to solve for allows us to reach our solution:

and

Which can be rewritten as:

When we work with absolute value equations, we're actually solving two equations:

and

Adding to both sides leaves us with:

and

Dividing by in order to solve for allows us to reach our solution:

and

Which can be rewritten as:

When we work with absolute value equations, we're actually solving two equations:

and

Adding to both sides leaves us with:

and

Dividing by in order to solve for allows us to reach our solution:

and

Which can be rewritten as:

First we need to get the expression with the absolute value sign by itself on one side of the inequality. We can do this by subtracting two from both sides then dividing everything by three.

Since absolute value signs make both negative and positive values positive we need to set up a double inequality.

Now to solve for subtract four from each side.

First we need to get the expression with the absolute value sign by itself on one side of the inequality. We can do this by subtracting two from both sides then dividing everything by three.

Since absolute value signs make both negative and positive values positive we need to set up a double inequality.

Now to solve for subtract four from each side.

First we need to get the expression with the absolute value sign by itself on one side of the inequality. We can do this by subtracting two from both sides then dividing everything by three.

Since absolute value signs make both negative and positive values positive we need to set up a double inequality.

Now to solve for subtract four from each side.

In order to solve a system of linear equations, we must start by solving one of the equations for a single variable:

We can now substitute this value for y into the other equation and solve for x:

Our last step is to plug this value of x into either equation to find y: