SOLUTION: the sum of 3 times one number and twice a second is -1. the ratio of twice the first to 3 times the second is -4:3. what are the numbers? so i know the first equation is 3x+2

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: the sum of 3 times one number and twice a second is -1. the ratio of twice the first to 3 times the second is -4:3. what are the numbers? so i know the first equation is 3x+2      Log On


   



Question 277287: the sum of 3 times one number and twice a second is -1. the ratio of twice the first to 3 times the second is -4:3. what are the numbers?

so i know the first equation is 3x+2y=-1 and i can get multiple solutions, but none of them fit the second part what do i do?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: "the ratio of twice the first to 3 times the second is -4:3" means that 2x%2F%283y%29=-4%2F3. In other words, the "ratio" or fraction of 2x to 3y is equivalent to the ratio of -4 to 3. So now you have two equations with two unknowns in which you can solve for x and y.