SOLUTION: Five times a number minus twice another number equals twenty-two. The sum of the numbers is three. Find the numbers.

Question 540215: Five times a number minus twice another number equals twenty-two. The sum of the numbers is three. Find the numbers.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!

Write an equation for each statement
;
Five times a number minus twice another number equals twenty-two.
5x - 2y = 22
:
The sum of the numbers is three.
x + y = 3
y = (3-x); use this form for substitution
:
Substitute (3-x) for y in the 1st equation
5x - 2(3-x) = 22
5x - 6 + 2x = 22; you have to change the sign of -x when you mult it by -2
5x + 2x = 22 + 6
7x = 28
x = 28/7
x = 4
find y
y = 3 - 4
y = -1
:
Our solution, x=4, y =-1
:
Check these solutions in the 1st statement:
Five times a number minus twice another number equals twenty-two.
5(4) - 2(-1) =
20 + 2 = 22; confirms our solutions
RELATED QUESTIONS
the sum of two numbers is twenty five. twice the larger number is equal to three times... (answered by mananth)

The sum of three numbers is 10. Two times the second number minus the first number is... (answered by lwsshak3)

1) The difference between six times a number and three times the number is twelve 2)... (answered by rfer)

four times a number minus twice another number is -16. the sum of the two numbers is -1.... (answered by JulietG)

Four times a number minus twice another number is -16. The sum of the two numbers is -1.... (answered by josmiceli)

two times a number plus three times another number equals 13. the sum of the two numbers... (answered by JenniferTutors)

Four times a number minus twice another number is -16. The sum of the two numbers is... (answered by oberobic)

the sum of two numbers is twenty-three. the larger number is five more than twice the... (answered by Fombitz)

A number plus half of another number equals 6; twice the first number minus three times... (answered by josgarithmetic,greenestamps,ikleyn,MathTherapy)