Question 315715: Choose two different positive numbers, then construct a system of two linear equations with two variables such that its solution consists of exactly the two chosen numbers. Explain your methid of creating the system and show proof indicating your solution is correct.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Choose two different positive numbers, then construct a system of two linear equations with two variables such that its solution consists of exactly the two chosen numbers. Explain your methid of creating the system and show proof indicating your solution is correct.
---------------
Let x = 2 or let y = 3
---
Creating two equations:
2x = 4 ; 3y = 9
Then 2x + 3y = 13
---
3x = 6 ; 4y = 12
Then 3x+4y = 18
---------------------------
System:
2x+3y = 13
3x+4y = 18
----------------
Solve by elimination:
6x + 9y = 39
6x + 8y = 36
---
Subtract to get:
y = 3
---
Substitute into 2x+3y = 13 to solve for "x":
2x + 3*3 = 13
2x = 13-9
2x = 4
x = 2
-------------------------------
Cheers,
Stan H.
---------------------
y =
|
|
|
