SOLUTION: the sum of two numbers is 18 seven times the smaller number minus twice the larger one is 36 what are the two numbers

Question 676824: the sum of two numbers is 18 seven times the smaller number minus twice the larger one is 36 what are the two numbers
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
x = one number
y = another number
...
x+y=18
7y-2x = 36
...
Rearrange the first equation as x = 18-y
Substitute into the second equation
7y - 2(18-y) = 36
Distribute the 2
7y - 2(18) - 2(-y) = 36
7y - 36 + 2y = 36
Isolate the y variable
9y = 36 + 36
9y = 72
Divide both sides by 9

x = 18-8 =
.....................
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.

RELATED QUESTIONS
The difference between two numbers is 18. The sum of twice the smaller number and... (answered by checkley79)

The sum of two numbers is 11. Ten times the smaller number minus 5 times the larger... (answered by swincher4391)

the sum of two numbers is 46. five times the smaller number minus twice the larger number (answered by edjones)

the sum of two numbers is 25. twice the smaller number minus the larger number is equal... (answered by Fombitz)

the difference between two numbers is 18. the sum of twice the smaller number and three... (answered by mananth)

the sum of two numbers is 10. twice the larger number minus the smaller number is 15 .... (answered by ewatrrr)

One number seven more than another number if the sum of twice the smaller number +3... (answered by hkwu)

The sum of two numbers is 23. the difference between three times the smaller and seven is (answered by nerdybill)

The sum of two numbers is 18. The sum of 3 times the smaller number and 4 times the... (answered by Menjax)