SOLUTION: Need someone's help please. Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this. 4x + 4y = -36 4x

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Question 494662: Need someone's help please.
Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
4x + 4y = -36
4x + 4y = 12

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Need someone's help please.
Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
4x + 4y = -36
4x + 4y = 12
----
It has no solution because the slopes are the same
and the y-intercepts are not the same.
------------------------------------------------
Solution by substitution:
Divide thru both equations by 4:
----
x + y = -9
x + y = 12
----
x = 12-y
---
substitute for "x" and solve for "y":
12-y + y = -9
12 = 9
----
That contradiction occurred because we assumed the
"x" in both equations were the same and the "y"
in both equations were the same. They cannot be.
==============
Cheers,
Stan H.
==================

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