SOLUTION: The sum of three times a number and twice another number is 120. Twice the first number plus four times the other number is 65. Calculate the values of the two numbers.

Question 972027: The sum of three times a number and twice another number is 120. Twice the first number plus four times the other number is 65. Calculate the values of the two numbers.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
number is x; other number is y
3x +2y=120
2x +4y=65
Multiply top by (-2)
-6x -4y =-240
2x +4y =65 Add them
-4x =-175
x=43.75
2x+4y=87.5 +4y+65
4y= -22.5
y= -5.625
3(43.75) + 2(-5.625)= 131.25 - 11.25=120
2(43.75) +4 (-5.625) =87.5-22.5 =65
(43.75, -5.625)
RELATED QUESTIONS
The sum of twice a number and three times another number is 120. Four times the first... (answered by stanbon)

the sum of twice a number plus four times another number? how do you... (answered by josmiceli)

two times a number plus three times another number equals 4.three times the first number... (answered by richwmiller)

The sum of 3 times a number and twice another number is 120. Twice the first number plus (answered by ewatrrr)

The sum of three times a number and four times another number is negative 25. Twice the... (answered by rothauserc)

four times a first number decreased by three times a second number is 22. the sum of the... (answered by stanbon)

seven times a number plus the sum of three and twice a number is... (answered by ankor@dixie-net.com)

four times the sum of twice a number and three is twelve. find the... (answered by ankor@dixie-net.com)

Seven more than four times a number is twice the sum of the number and... (answered by scott8148)