SOLUTION: The sum of twice a number and three times another number is 120. Four times the first number plus the second number is 64. Calculate the value of the two numbers

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of twice a number and three times another number is 120. Four times the first number plus the second number is 64. Calculate the value of the two numbers       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1030204: The sum of twice a number and three times another number is 120. Four times the first number plus the second number is 64. Calculate the value of the two numbers

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of twice a number and three times another number is 120. Four times the first number plus the second number is 64. Calculate the value of the two numbers.
-----
Equations::
2x + 3y = 120
4x + y = 64
---------------------
Modify for elimination:
2x + 3y = 1203
12x + 3y = 192
------
Subtract and solve for "x"::
10x = 72
x = 7.2
------
Solve for "y"::
y = -4x + 64
y = -28.8 + 64
y = 35.2
-------------
Cheers,
Stan H.
-----------