One number added to three times another number is 24. Five times the first number added to three times the other number is 36. Find the numbers

Question

Solve word problem using system of equations. Use elimination 

Answer 1

Let F be the first number

Let S be the second number

 

F + 3S = 24

5F + 3S = 36 and 3S = 36 - 5F (substitute in first equation)

F + 36 - 5F = 24

-4F = -12

F = 3

S = 7