SOLUTION: The difference between the triple of a number and a quarter of another number is 13 and the other is double the first number plus twice the second is 18. Find the numbers

Question 1017182: The difference between the triple of a number and a quarter of another number is 13 and the other is double the first number plus twice the second is 18. Find the numbers
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
your two equations are:

3x - y/4 = 13

2x + 2y = 18

solve for y in the first equation to get y = 12x - 52.

replace y with 12x - 52 in the second equation to get:

2x + 2 * (12x - 52) = 18

solve for x to get x = 122/26

solve for y in the first equation to get y = 112/26.

your solution is that x = 122/26 and y = 112/26.

replace x and y with these values in both the original equations and you will find that they are true.

the mathematics is cumbersome.

if you have a calculator with more than one memory, it pays to do the math using your calculator and storing the results.

doing it that way, i got:

x = 4.692307692

y = 4.307692308

RELATED QUESTIONS
whats the difference of double a number and triple another number is 14 the sum of the... (answered by stanbon)

whats the difference of double a number and triple another number is 14 the sum of the... (answered by ankor@dixie-net.com)

Triple a number, minus one is fifty. Triple the difference of a number and one is fifty. (answered by Alan3354)

The difference of triple a number and... (answered by Alan3354,Edwin McCravy)

one nu,ber is greater than double another number by 15. If their sum is 54, find the... (answered by ankor@dixie-net.com)

Twice the sum of a number and three is the same as triple the difference of a number and... (answered by rfer)

A quarter of the sum of two numbers is 16 and three times the difference between the... (answered by amarjeeth123)

Double the sum of a number and 6 is the same as 15 more than triple the same number. find (answered by Earlsdon)

double the sum of a number and 6 is the same as 15 more than triple the same number find... (answered by alanc)