SOLUTION: the sum of two numbers is 21. the smaller number is three more than half the larger number. find the solution by writing and solving a system of equations algebraically.

Question 967876: the sum of two numbers is 21. the smaller number is three more than half the larger number. find the solution by writing and solving a system of equations algebraically.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
x and y are the two numbers.
.

Use this to substitute for x below.
Substitute for x from above.
Add y to each side.
Subtract 3 from each side.
Divide each side by 1.5.
ANSWER 1: The larger number is 12.
= ANSWER 2: The smaller number is 9.

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