SOLUTION: The sum of two numbers is 10, and their difference is 4. Write a system of linear equations and solve the resulting system. Let x be the larger number and y be the smaller number.

Algebra.Com
Question 683663: The sum of two numbers is 10, and their difference is 4. Write a system of linear equations and solve the resulting system. Let x be the larger number and y be the smaller number.
x+y=

Answer by ReadingBoosters(3246)   (Show Source): You can put this solution on YOUR website!
x+y = 10
x-y = 4
...
Add
x+x+y-y=10+4
2x = 14
divide both sides by 2
x = 7
...
7 + y = 10
y = 10 - 7
y = 3
...
The number are and
..............................
Have more questions?
HomeworkHelpers@ReadingBoosters.com.
Delighted to help!
-Reading Boosters
Website: www.MyHomeworkAnswers.com

RELATED QUESTIONS

The sum of two numbers is 20. Their difference is 4. Write the system of linear equations (answered by lagbens)
Set up a system of linear equations and solve for the indicated quantities The sum of... (answered by ikleyn)
Write a system of linear equations. the sum of two number is 3. Their difference is 1. (answered by stanbon)
Write a system of two equations in two unknown for each problem. Solve each system (answered by MathGuyJoe)
The sum of two numbers is 65. The difference of the two numbers is 27. Write and solve a... (answered by macston)
The sum of two numbers is 34. The difference between the same two numbers is 6. Write and (answered by ewatrrr,rfer)
The sum of two numbers is 8. The difference of the two numbers is 2. Write a system if... (answered by Fombitz)
The sum of two numbers is 4. Their difference is 12. What are the two numbers? Write a (answered by josgarithmetic,MathTherapy)
The sum of two numbers is 82. Their difference is 24. Write a system of equations that... (answered by 303795,checkley71)