What is the value of x in the solution to the following system of equations?
2 answers:
The answer is
x _ 2y = 2
<span>3x + y = 6
</span>3x _ 6y = 6 (1
<span>3x + y = 6 (2
</span>(1 - (2
-7y=0, y=0, so x - 2.0=2 implies x=2
Answer:
![x=2](https://tex.z-dn.net/?f=x%3D2)
Step-by-step explanation:
we have
------> equation A
------> equation B
Multiply by
equation B
------>
-----> equation C
Adds equation A and equation C
![x-2y=2\\6x+2y=12\\--------\\x+6x=2+12\\7x=14\\x=2](https://tex.z-dn.net/?f=x-2y%3D2%5C%5C6x%2B2y%3D12%5C%5C--------%5C%5Cx%2B6x%3D2%2B12%5C%5C7x%3D14%5C%5Cx%3D2)
Find the value of y
![x-2y=2](https://tex.z-dn.net/?f=x-2y%3D2)
![2-2y=2](https://tex.z-dn.net/?f=2-2y%3D2)
![2y=0](https://tex.z-dn.net/?f=2y%3D0)
![y=0](https://tex.z-dn.net/?f=y%3D0)
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