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mina [271]
2 years ago
13

How to solve 6x + y= -5, -6x + 12y=96 using elimination and does it have no solution or many solutions?

Mathematics
1 answer:
Alika [10]2 years ago
8 0

Answer:

x = -2

Step-by-step explanation:

Arrange 6x + y= -5, -6x + 12y=96 vertically:

6x + y= -5

-6x + 12y=96       Now combine like terms:

--------------------

       13y = 91

Solving for y by dividing both sides by 13:  y = 7

Find x by substituting 7 for y in the second equation:  -6x + 12(7) = 96

Then -6x = -84 + 96, or:

-6x = 12, and so x = -2

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Part 1:
emmasim [6.3K]
Here are my answers to the given questions above:
Part 1. Here is my example of a real life scenario that describes what is happening. Let us say, I have 2 cookies and the bottle of milk costs 11 dollars, and 3 cookies and 4 bottles of milk cost 24 dollars.
Part 2. 
y=11-2x
3x+4(11-2x)=24
3x+44-8x=24
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x=4
y=11-8
y=3
Therefore, each cookie costs 4 dollars, and a bottle of milk costs 3 dollars.
Hope this answer helps. Let me know if you need more help next time.
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3 years ago
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Alexeev081 [22]
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