Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

De oplossing van \(\boldsymbol{\ 5-\frac{x-2}{3}=3}\)
A. is een NIET geheel getal
B. is één van de getallen { − 12 , − 6 }
C. is één van de getallen { − 4 , − 3 , − 2 }
D. is één van de getallen { 0 , 4 , 6 }
E. is één van de getallen { 8 , 16 }

The solution of $\boldsymbol{5-\frac{x-2}{3}=3}$	A. is not an integer
	B. is one of the numbers { − 12 , − 6 }
	C. is one of the numbers { − 4 , − 3 , − 2 }
	D. is one of the numbers { 0 , 4 , 6 }
	E. is one of the numbers { 8 , 16 }

1^ste manier :	2^de manier :	3^de manier :
$5-\frac{x-2}{3}=3\\\Leftrightarrow\;5-\left(\frac x3-\frac23\right)=3\\\Leftrightarrow\;\frac{15}3-\frac x3+\frac23=3\\\Leftrightarrow\;\frac{15-x+2}{3}=3\\\Leftrightarrow\;15-x+2=9\\\Leftrightarrow\;-x=9-15-2\\\Leftrightarrow\;-x=-8\Leftrightarrow\;x=8$	$5-\frac{x-2}{3}=3\quad/\times3\\\Leftrightarrow\;15-(x-2)=9\\\Leftrightarrow\;15-x+2=9\\\Leftrightarrow\;17-9=x\\\Leftrightarrow\;x=8$	$5-\frac{x-2}{3}=3\\\Leftrightarrow\;5-3=\frac{x-2}3\\\Leftrightarrow\;2=\frac{x-2}3\\\Leftrightarrow\;x-2=6\\\Leftrightarrow\;x=8$

The solution of \(\boldsymbol{5-\frac{x-2}{3}=3}\)	A. is not an integer
	B. is one of the numbers { − 12 , − 6 }
	C. is one of the numbers { − 4 , − 3 , − 2 }
	D. is one of the numbers { 0 , 4 , 6 }
	E. is one of the numbers { 8 , 16 }