SOLUTION: The sum of three times a number and four times another number is negative 25. Twice the first number subtracted by three times the second number is six. What are the two numbers? y

Question 745643: The sum of three times a number and four times another number is negative 25. Twice the first number subtracted by three times the second number is six. What are the two numbers? yes i know this is difficult :)

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
The problem states
The sum of three times a number and four times another number is negative 25. Twice the first number subtracted by three times the second number is six. What are the two numbers?
let x be the first number and y be the second, then we have
3x + 4y = -25
2x - 3y = 6
solve second equation for x
2x = 3y + 6
x = 3y/2 + 3
substitute for x in the first equation
3(3y/2 + 3) + 4y = -25
9y/2 + 9 + 4y = -25
multiply both sides of = by 2
9y + 18 + 8y = -50
17y = -68
and y = -4 and 3x + 4*-4 = -25 and x = -3
our answer is x = -3 and y = -4

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

Four times the sum of twice a number and negative three is less than 5.5 time that same... (answered by ikleyn)

The sum of three times a number and twice another number is 120. Twice the first number... (answered by Boreal)

The sum of twice a first number and three times a second number is 71. If the second... (answered by erica65404)

The sum of twice a number and three times another number is 120. Four times the first... (answered by stanbon)

can you guys help me again.... 2. Five times the first of two consecutive integers... (answered by greenestamps,josgarithmetic)

Four times a number is less than or equal to the sum of three times the number and... (answered by ikleyn)

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)