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

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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) About Me  (Show Source):
You can put this solution on YOUR website!






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Solve by adding the two equations to eliminate


John

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

Answer by addingup(3677) About Me  (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
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Check:
Twice the sum of the two numbers is 10
2(8+-3)= 16+-6 = 10 Correct