SOLUTION: Use a system of linear equations with two variables and two equations to solve. A number is 11 more than another number. Twice the sum of the two numbers is 10. Find the two nu

Question 1129393: Use a system of linear equations with two variables and two equations to solve.
A number is 11 more than another number. Twice the sum of the two numbers is 10. Find the two numbers. (Enter your answers as a comma-separated list.)

Found 2 solutions by solver91311, addingup:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

======================================================

Solve by adding the two equations to eliminate

John

My calculator said it, I believe it, that settles it

Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
y = x+11
2(y+x) = 10 substitute y with equivalent above:
2(x+11+x) = 10
2x+22+2x = 10
4x = -12
x = -3
and
y = x+11 = -3+11 = 8
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Check:
Twice the sum of the two numbers is 10
2(8+-3)= 16+-6 = 10 Correct
RELATED QUESTIONS
Write a system of linear equations in two variables having {(-2, 7)} as a solution set.... (answered by stanbon,Edwin McCravy)
Define your variables, write a system of equations, solve and answer the question. One (answered by ankor@dixie-net.com)
Use a system of linear equations with two variables and two equations to solve. A... (answered by ikleyn)
Use a system of two equations in two variables to solve the problem. A two digit number... (answered by MathTherapy)
A coin has 33 quarters and nickels. The number of nickels is 5 greater than three times... (answered by ikleyn)
Hi, Can you help me with this problem? I don't quite understand how to do it... "The... (answered by rothauserc,Alan3354,LinnW,MathTherapy)
during the movie fundraising event the concession stand at the auditorium sells popcorn,... (answered by robertb,MathTherapy)
The digit in the tens place of a two-digit number is four more than twice the digit in... (answered by ankor@dixie-net.com)
How do I solve using two equations with two variables? The sum of the digits of a... (answered by ankor@dixie-net.com)