# How do you solve #x - y = 0# and #x - y - 2 = 0 # using substitution?

##### 2 Answers

This system of equations is inconsistent, so has an empty solution set.

#### Explanation:

Given:

#{ (x-y = 0), (x-y-2 = 0) :}#

Using the first equation, we get a value

#0 - 2 = 0#

which is false.

So this system is inconsistent and there are no values of

See a solution process below:

#### Explanation:

**Step 1)** Solve the first equation for

**Step 2)** Substitute

Because

Or, the solution is the empty or null set:

This indicates the two lines represented by the equations in the problem are parallel lines and not the same lines.