De
oplossingen-
verzameling
van de
vergelijking
2 x − 3 y = 6
(2 onbekenden)
is 		A.  \(\boldsymbol{ \{\,(t,\:\frac {2t\,-\,6} {3} )\,|\;t\in \mathbb{R}\,\}}\)
B.  \(\boldsymbol{ \{\,(t,\:\frac {6} {-2t\,+\,3} )\,|\;t\in \mathbb{R}\,\}}\)
C.  \(\boldsymbol{ \{\,(t,\:\frac {6\,-\,2t} {3} )\,|\;t\in \mathbb{R}\,\}}\)
D.  \(\boldsymbol{ \{\,(t,\:-\,\frac {6\,+\,2t} {3} )\,|\;t\in \mathbb{R}\,\}}\)
E.    \(\boldsymbol{\mathbb{R}}\)
                 

[ 3-1677 - op net sinds 11.6.98-(E)-2.11.2023 ]

Translation in   E N G L I S H

The
solution
set of the
equation
2 x − 3 y = 6
(2 unknowns)
is 		A.   \(\boldsymbol{ \{\,(t,\:\frac {2t\,-\,6} {3} )\,|\;t\in \mathbb{R}\,\}}\)
B.   \(\boldsymbol{ \{\,(t,\:\frac {6} {-2t\,+\,3} )\,|\;t\in \mathbb{R}\,\}}\)
C.   \(\boldsymbol{ \{\,(t,\:\frac {6\,-\,2t} {3} )\,|\;t\in \mathbb{R}\,\}}\)
D.   \(\boldsymbol{ \{\,(t,\:-\,\frac {6\,+\,2t} {3} )\,|\;t\in \mathbb{R}\,\}}\)
E.     \(\boldsymbol{\mathbb{R}}\)

Oplossing - Solution

Blijkbaar is er gekozen om x te kiezen en y te berekenen.
Stel x = t, dan is  2t − 3y = 6  ⇔  2t − 6 = 3y
zodat je na deling door 3 direct bij antwoord A komt.