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irakobra [83]
3 years ago
11

When you apply addition, add both side of the equation. Which property of equality is it

Mathematics
1 answer:
Nikolay [14]3 years ago
8 0
I think addition property of equality
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F(x+1)+f(x+2)=2x+3; f(x)=?
Rama09 [41]

Answer:

F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1

Step-by-step explanation:

1. \mathrm{Subtract\:}f\left(x+2\right)\mathrm{\:from\:both\:sides}\\&#10;F\left(x+1\right)+f\left(x+2\right)-f\left(x+2\right)=2x+3f-f\left(x+2\right)&#10;&#10;

2. \mathrm{Simplify}\\&#10;F\left(x+1\right)=-xf+f+2x\\&#10;

3. \mathrm{Divide\:both\:sides\:by\:}x+1;\quad \:x\ne \:-1\\&#10;\frac{F\left(x+1\right)}{x+1}=-\frac{xf}{x+1}+\frac{f}{x+1}+\frac{2x}{x+1};\quad \:x\ne \:-1

4. \mathrm{Simplify}\\&#10;F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1

Final Answer: F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1

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katrin [286]
18,055
-
3,138
———-
14,927

14,927
+
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Read 2 more answers
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