SOLUTION: Identify the solution(s) of the system of equations, if any. x + 3y = 6 5x - 9y = 14

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Question 841452: Identify the solution(s) of the system of equations, if any.
x + 3y = 6
5x - 9y = 14
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply everything in equation 1 by 3 to get 3x + 9y = 18

now add the equations

3x + 9y = 18
5x - 9y = 14
-------------
8x + 0y = 32

8x = 32

x = 32/8

x = 4

Once we know x, we can figure out y

x + 3y = 6

4 + 3y = 6

3y = 6-4

3y = 2

y = 2/3

The solution is

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Identify the solution(s) of the system of equations, if any.
x + 3y = 6
5x - 9y = 14
------
Modify::
3x + 9y = 3*6
5x - 9y = 14
-------
Add and solve for "x":
8x = 32
x = 4
--------
Solve for "y":
x + 3y = 6
4 + 3y = 6
3y = 2
y = 2/3
-------------------
Cheers,
Stan H.
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