SOLUTION: Q.(((The sum of two times one number and three times another is 29. The difference between twice the first and the second is 1. Solve algebraically to find the numbers))).

Question 182527: Q.(((The sum of two times one number and three times another is 29. The difference between twice the first and the second is 1. Solve algebraically to find the numbers))).
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of two times one number and three times another is 29. The difference between twice the first and the second is 1. Solve algebraically to find the numbers
-------------------------------
Equations:
2x + 3y = 29
2x - y = 1
-------------------
Subtract 2nd from 1st to solve for "y":
4y = 28
y = 7
-------------------
Since 2x - y = 1, 2x -7 = 1; 2x = 8; x = 4
------------------------------------------------
Ans: 1st = x = 4 ; 2nd = y = 7
==================================================
Cheers,
Stan H.
RELATED QUESTIONS
The sum of two times one number and three times another is 29. The difference between... (answered by stanbon)

The sum of three numbers is 29. Twice the first number is eighteen more than three times... (answered by ankor@dixie-net.com)

The sum of two numbers is 20. The difference between three times the first number and... (answered by josgarithmetic,ankor@dixie-net.com,stanbon)

The difference between the first number and two times the second number is -54, while the (answered by fractalier)

The sum of 3 numbers is 29. Twice the first number is 18 more than three times the second (answered by oberobic)

the difference between seven times one number and three times a second number is 25. The... (answered by Maths68)

The difference between seven times one number and three times a second number is 25. the... (answered by stanbon)

The sum of twice one number and 3 times another is 41. If the second is subtracted from... (answered by acalgebra)

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