the sum of 2 numbers is 5. 5 times the larger number plus 4 times the smaller number is 37. Find the

the sum of 2 numbers is 5. 5 times the larger number plus 4 times the smaller number is 37. Find the numbers

Let the first small number be x. Let the second larger number be y. We're given:

1. x + y = 5
2. 5y + 4x = 37

We can solve this 3 ways, using the following methods:

1. Substitution Method
2. Elimination Method
3. Cramer's Rule

No matter what method we choose, we get:
x = -12
y = 17

Let's check our work using equation 1:
-12 + 17 ? 5
5 = 5 <-- Check

Let's check our work using equation 2:
5(17) + 4(-12) ? 37
85 - 48 ? 37
37 = 37 <-- Check