Question

Solve each word problem using a system of equations. Use substitution or elimination.

1. 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.

Answer 1

Explanation:

x + 3y = 24.....multiply by -1

5x + 3y = 36

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-x - 3y = -24 (result of multiplying by -1)

5x + 3y = 36

------------------add

4x = 12

x = 12/4

x = 3 <=======

x + 3y = 24

3 + 3y = 24

3y = 24 - 3

3y = 21

y = 21/3

y = 7 <========