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ale4655 [162]
4 years ago
12

What is the solution to the system of equations X+y=5 X-2y=2 (_,_)

Mathematics
1 answer:
andrew-mc [135]4 years ago
5 0
X + y = 5 => 2x + 2y = 10
                      x  - 2y =  2
                    _________(+)
                     3x        = 12 => x = 12 / 3 => x = 4 => y = 5 - 4 => y = 1
The solution to the system of equations is ( 4 , 1 ).
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What is the following is the solution to the equation 25^(z+2) = 125
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First, rewrite the equation 25^{z+2} = 125 with the base equal to 5. Note that:

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Since the bases are equal, you have that powers are equal too:

2\cdot (z+2)=3,\\ \\2z+4=3,\\ \\2z=3-4,\\ \\2z=-1,\\ \\z=-\dfrac{1}{2}.

Answer: z=-\dfrac{1}{2}.


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