SOLUTION: three times a number added to twice a smaller number is 4. twice the smaller number less than twice the larger number is 6. find the numbers help :(

Question 737137: three times a number added to twice a smaller number is 4. twice the smaller number less than twice the larger number is 6. find the numbers

help :(
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
we are given
3i + 2j = 4
and 2j - 2i = 6
therefore 2j = 2i + 6 and
j = i + 3
substitute in the first equation
3i + 2 * (i+3) = 4
3i + 2i + 6 = 4
5i = -2
i = -2/5 and -6/5 + 2j = 4, -6 + 10j = 20, j = 26/10 = 13/5
i = -2/5 and j=13/5
RELATED QUESTIONS
Three times a larger number added to 4 times a smaller number totals 24. When twice the... (answered by checkley77)

Three times a larger number added to 4 times a smaller number totals 24. When twice the... (answered by stanbon)

Three times a larger number added to 4 times a smaller number totals 24. When twice the... (answered by ewatrrr)

One number is 4 more than three times a smaller number. If twice the larger number is... (answered by unlockmath)

three times a larger number added to 4 times a smaller number totals 24. when twice the... (answered by ankor@dixie-net.com)

The difference between two numbers is twelve. Three times the smaller number is four less (answered by jim_thompson5910)

The smaller of two numbers is eight less than three times the larger number. If twice the (answered by lwsshak3)

a number is five less than another number the difference between twice the larger and... (answered by ankor@dixie-net.com)

One number is 4 more than another. If 3 times the smaller number is equal to twice the... (answered by Fombitz)