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

The given equations are $t = 2 - x$ and $y = \frac { 1 } { 3 x }$. Solving the first equation for $x$ gives $x = 2 - t$, which matches option E. Substituting $x = 2 - t$ into the second equation gives $y = \frac { 1 } { 3(2 - t) } = \frac { 1 } { 6 - 3t }$, which also 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 $t = 2 - x$