# How do you solve the system #x+3y=-4# and #2x+6y=5# using substitution?

##### 1 Answer

Oct 16, 2016

#### Answer:

This systen has no solutions. See explanation for details.

#### Explanation:

The original system is:

To solve it using **substitution** we have to calculate one of the variables from one equation to substitute it in the other. We can easily calculate

Now we put the value to the second equation:

If we try to calculate

If we reduce like terms we get:

This equality is of course false which means that the original system has **no** solutions.