SOLUTION: One third of a number added to five thirds of a second number equals to four. Four times the number plus five times the second number is equal to three. Find the smaller number.

Question 996275: One third of a number added to five thirds of a second number equals to four. Four times the number plus five times the second number is equal to three. Find the smaller number.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
One third of a number added to five thirds of a second number equals to four.
a + b = 4
multiply equation by 3, cancel the denominators
a + 5b = 3(4)
a + 5b = 12
Four times the number plus five times the second number is equal to three.
4a + 5b = 3
:
Use elimination here
4a + 5b = 3
a + 5b = 12
--------------Subtraction eliminates b, find a
3a = -9
a = -9/3
a = -3
Find a using the eq a + 5b = 12
-3 + 5b = 12
5b = 12 + 3
5b = 15
b = 15/5
b = 3
:
Find the smaller number.
The smaller number is a; -3
:
:
Confirm these solutions in the 1st original equation
(-3) + (3) = 4
-1 + 5 = 4
RELATED QUESTIONS
How do I write these? One half of a larger number, plus three times another number is... (answered by josgarithmetic)

Seven times the reciprocal of a number plus five times the reciprocal fo the number... (answered by nerdybill)

four times a number, added to the sum of the number and... (answered by checkley77)

1.find a number such that one-half of the number is three less than two-thirds of that... (answered by solver91311)

five times a number(n) plus six equals negative four (answered by stanbon)

Five-sixths more than two-thirds of a number results in four times the number. Find the... (answered by ankor@dixie-net.com)

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

WORD PROBLEMS BUT I CAN NOT FIGURE OUT THE FORMULAS 1. One number plus five times its... (answered by MsRedz123)

Three times one number added to five times a second number is 68. Three times the... (answered by checkley79)