Find a set of parametric equations for the rectangular equation. $t = 2 - x$ $y = \frac { 1 } { 3 x }$
A) $x = - 2 - t , y = \frac { 1 } { ( 6 - 6 t ) }$
B) $x = - 2 - t , y = \frac { 1 } { ( 6 - 3 t ) }$
C) $x = 2 - t , y = \frac { 1 } { ( 3 - 3 t ) }$
D) $x = - 2 + t , y = \frac { 1 } { ( 6 - 3 t ) }$
E) $x = 2 - t , y = \frac { 1 } { ( 6 - 3 t ) }$

Question

Find a set of parametric equations for the rectangular equation.  $t = 2 - x$ $y = \frac { 1 } { 3 x }$ 
A) $x = - 2 - t , y = \frac { 1 } { ( 6 - 6 t ) }$
B) $x = - 2 - t , y = \frac { 1 } { ( 6 - 3 t ) }$
C) $x = 2 - t , y = \frac { 1 } { ( 3 - 3 t ) }$
D) $x = - 2 + t , y = \frac { 1 } { ( 6 - 3 t ) }$
E) $x = 2 - t , y = \frac { 1 } { ( 6 - 3 t ) }$

Quizplus · Accepted Answer

Given $t = 2 - x$, solving for $x$ gives $x = 2 - t$. Substituting $x = 2 - t$ into $y = \frac{1}{3x}$ gives $y = \frac{1}{3(2 - t)} = \frac{1}{6 - 3t}$, which matches option E.

Find a Set of Parametric Equations for the Rectangular Equation t=2−xt = 2 - xt=2−x

Find a Set of Parametric Equations for the Rectangular Equation $t = 2 - x$