SOLUTION: The sum of 4 times the first number and three times the second number is 15. The difference of three times the first number and twice the second number is 7. Find the numbers.
Algebra ->
Human-and-algebraic-language
-> SOLUTION: The sum of 4 times the first number and three times the second number is 15. The difference of three times the first number and twice the second number is 7. Find the numbers.
Log On
Question 775416: The sum of 4 times the first number and three times the second number is 15. The difference of three times the first number and twice the second number is 7. Find the numbers. Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website! 4x + 3y = 15...1
3x - 2y = 7....2
Multiply (1) by 2
Multiply (2) by 3
8x + 6y = 30...3
9x - 6y = 21...4
Add (3) + (4)
17x = 51
x = 3
Substitute x = 3 into (1)
4x + 3y = 15
12 + 3y = 15
3y = 15 - 12
3y = 3
y = 1
numbers are 3 and 1
Hope this helps.
:-)
