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Murljashka [212]
3 years ago
12

If y/5+8=7, what is the value of y/5-2

Mathematics
1 answer:
Andrei [34K]3 years ago
4 0
"<span>y/5+8=7, what is the value of y/5-2?"  Simplify the first equation:  
 
y/5 = 7 - 8, or -1, so y/5 = -1, or y = -5.

Then y/5 - 2 equals -5/5 - 2, or -3.</span>
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dusya [7]

1)

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3)

let's recall that the conjugate of any pair a + b is simply the same pair with a different sign, namely a - b and the reverse is also true, let's also recall that i² = -1.

\cfrac{6-7i}{1-2i}\implies \stackrel{\textit{multiplying both sides by the denominator's conjugate}}{\cfrac{6-7i}{1-2i}\cdot \cfrac{1+2i}{1+2i}\implies \cfrac{(6-7i)(1+2i)}{\underset{\textit{difference of squares}}{(1-2i)(1+2i)}}} \\\\\\ \cfrac{(6-7i)(1+2i)}{1^2-(2i)^2}\implies \cfrac{6-12i-7i-14i^2}{1-(2^2i^2)}\implies \cfrac{6-19i-14(-1)}{1-[4(-1)]} \\\\\\ \cfrac{6-19i+14}{1-(-4)}\implies \cfrac{20-19i}{1+4}\implies \cfrac{20-19i}{5}\implies \cfrac{20}{5}-\cfrac{19i}{5}\implies 4-\cfrac{19i}{5}

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