SOLUTION: one number is five more than three times a smaller one. if four times the larger number is subtracted from twice the smaller one, the result is 0. find each of the numbers

Algebra ->  Equations -> SOLUTION: one number is five more than three times a smaller one. if four times the larger number is subtracted from twice the smaller one, the result is 0. find each of the numbers      Log On


   

Question 360113: one number is five more than three times a smaller one. if four times the larger number is subtracted from twice the smaller one, the result is 0. find each of the numbers
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Let x represent the smaller number,  then the larger number is (3x + 5)

write as we read***

2x -4(3x +5) = 0

solve for x

2x - 12x - 20 = 0

-10x - 20 = 0

-10x = 20

x = -2 is the smaller number

(3x + 5) = -2*3 + 5 = -1  is the larger number

checking our answer

2*-2 - 4*(3*-2 + 5) = -4 - 4*-1 = -4 + 4 = 0