SOLUTION: one number is 3 less than a second number. twice the second number is 4 less than 3 times the first. find the smaller of the two numbers

Question 1142537: one number is 3 less than a second number. twice the second number is 4 less than 3 times the first. find the smaller of the two numbers
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
one number is 3 less than a second number.
a = b - 3
twice the second number is 4 less than 3 times the first.
2b = 3a - 4
replace a with (b-3) from the first equation
2b = 3(b-3) - 4
2b = 3b = - 9 - 4
2b - 3b = -13
-b = -13
b = 13
a is 3 less, therefore
a = 10
find the smaller of the two numbers: 10
:
:
Check using the 2nd equation
2(13) = 3(10) - 4
26 = 30 - 4

:

RELATED QUESTIONS
one number is 3 less than a second number. Twice the second number is 16 less than 4... (answered by ReadingBoosters)

One number is 3 less than a second number. Twice the second number is 9 less than 5 times (answered by ankor@dixie-net.com)

One number is 3 less than a second number. Twice the second number is 9 less than 5 times (answered by richwmiller,mgmoeab)

One number is 7 less than a second number. Twice the second number is 4 less than 5 times (answered by oberobic)

One number is 1 less than a second number. Twice the second number is 31 less than 5... (answered by lwsshak3)

One number is 1 less than a second number. Twice the second number is 4 less than 3 times (answered by checkley77)

One number is 4 less than a second number. Twice the second number is 1 less than 3 times (answered by mananth)

one number is 3 times less than a second number. twice the second number is 30 more than... (answered by knighty2002uk)

one number is 3 less than a second number. twice the second number is 3 less than 3 times (answered by Maths68,MathTherapy)