# How do you find two numbers whose sum is 49, if the greater number is 4 more than 8 times the smaller number?

##### 2 Answers

I got

#### Explanation:

Call the numbers

substitute the second equation into the first:

so that:

Write two equations and solve for one variable. Then substitute the value for the first variable to find the value for the second variable.

#### Explanation:

The first equation would be

Where x = the first variable

Where y = the second variable.

The second equation would be

where y = the larger number.

Put

To check put the values into the first equation

x = 5 : y = 44