# How do you solve the system #y = - 2/3x# and #2x + 3y = 5# by graphing?

##### 1 Answer

#### Answer:

There is no solution to this system of equations

#### Explanation:

You have two equations. What is normally meant by 'solve' is really the question: What are the value for

So the question now is: Why do they not cross?

Consider

This can be re-written as

Now compare this to

Notice that the coefficient in front of

This is the gradient. As the gradient (slope) is the same for both equations they are parallel.

This means that they NEVER cross. So they do NOT share the same values at any point.