# If four times a first number is decreased by three times the second number, the result is zero. The sum of the numbers is -7. Find the numbers?

##### 2 Answers

#### Explanation:

By what is given,

#### Explanation:

Let's say the first number is

So, first we're told that

Let's use substitiution!

Our first job is to set

*subtract #y# on both sides*

Now, substitute

*distribute the #4#*

*add*#28# on both sides

*combine like-terms*

*divide by*#-7# on both sides

Now that we know

*add #4# on both sides*

Just to double-check our work, let's solve the first equation using

If our answers are correct, we should find our solution to be

We were right!