SOLUTION: Twice a first number plus a second number is 18. The first number is five less than three times the second number. Find the numbers. Show equations.

Question 242261: Twice a first number plus a second number is 18. The first number is five less than three times the second number. Find the numbers. Show equations.
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
2x + y = 18
x = 3y - 5
Those are your equations.
Can you finish now?
=====================================================
I got your e-mail. Here is the entire problem solved.

Good morning. I got your reply lasy night. Here is how we do your math problem.
Twice a first number plus a second number is 18. The first number is five less than three times the second number. Find the numbers. Show equations.

Solution:

Let x = one number
let y = the other number

2x + y = 18
x = 3y - 5

I will use the substitution method, which is the easiest to follow.

Plug 3y - 5 into the other equation and solve for y.

2(3y - 5) + y = 18

6y - 10 + y = 18

7y = 18 + 10

7y = 28

y = 28/7

y = 4

Since we now know y = 4, we plug 4 for y into EITHER of the original equations created from the word problem.

I will use x = 3y - 5.

Let y = 4

x = 3(4) - 5

x = 12 - 5

x = 7

The numbers are 4 and 7.

Did you follow?

Guido

RELATED QUESTIONS
One number is 9 less than three times a second number. If the first number plus twice the (answered by Fombitz)

Four less than five times a number is tweleve more than another number. Three times the... (answered by solver91311)

Three times a number plus twice a second number is 41. Also, four times the first plus... (answered by Mathtut)

One number is 2 less than a second number. Twice the second number is 18 more than 4... (answered by mananth)

the first number is 5 less than 3 times the second number. Twice the first number plus... (answered by algebrahouse.com)

The first number is eight more than the second number. Three times the second number... (answered by emargo19)

one number is eight more than a second number. three times the first is eight less than... (answered by MathLover1)

One number is five less than a second number. Three times the first is 12 more than 6... (answered by josgarithmetic,Edwin McCravy)

The sum of five times a number and twice a second number is 18, but the difference of... (answered by stanbon)