SOLUTION: 3b. this one has me simply dumbfounded. Please help if you can. Thanks. How many solutions does the following system have: 4x + 8y = 16 3x + 6y = 9 Explain how to determine

Question 182549: 3b.
this one has me simply dumbfounded. Please help if you can. Thanks.
How many solutions does the following system have:
4x + 8y = 16
3x + 6y = 9
Explain how to determine the number of solutions without solving the system. Then apply elimination, and interpret the resulting expression.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How many solutions does the following system have:
4x + 8y = 16
3x + 6y = 9
Explain how to determine the number of solutions without solving the system. Then apply elimination, and interpret the resulting expression.
----------
Put each equation in slope-intercept form:
y = (-1/2)x + 2
y = (-1/2)x + (3/2)
-----------------------
They have the same slope and different y-intercepts so there are zero solutions.
---------------------------
By elimination:
4x + 8y = 16
3x + 6y = 9
---
Multiply thru the 2nd Eq. by (4/3) to get:
4x + 8y = 16
4x + 8y = 12
-----------------
Subtracting 2nd by 1st you get:
0 = 4
The system is inconsistent and has no solutions.
==============================
Cheers,
Stan H.
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