Find a set of parametric equations for the rectangular equation. $\begin{array} { l }
t = 2 - x \
x = 5 y - 2
\end{array}$
A) $x = 5 + t , y = \frac { 1 } { 2 } ( 4 - t )$
B) $x = 2 - t , y = \frac { 1 } { 5 } ( 4 - t )$
C) $x = 2 + t , y = \frac { 1 } { 5 } ( 4 - t )$
D) $x = 2 + t , y = \frac { 1 } { 5 } ( 4 + t )$
E) $x = 2 + t , y = \frac { 1 } { 5 } ( t - 4 )$

Question

Find a set of parametric equations for the rectangular equation.​ $\begin{array} { l } 
t = 2 - x \
x = 5 y - 2
\end{array}$ ​
A) $x = 5 + t , y = \frac { 1 } { 2 } ( 4 - t )$
B) $x = 2 - t , y = \frac { 1 } { 5 } ( 4 - t )$
C) $x = 2 + t , y = \frac { 1 } { 5 } ( 4 - t )$
D) $x = 2 + t , y = \frac { 1 } { 5 } ( 4 + t )$
E) $x = 2 + t , y = \frac { 1 } { 5 } ( t - 4 )$

Quizplus · Accepted Answer

The given equations are $t = 2 - x$ and $x = 5y - 2$. Solving for $x$ in terms of $t$, we get $x = 2 - t$. Substituting $x = 2 - t$ into $x = 5y - 2$, we solve for $y$ to get $y = \frac{1}{5}(4 - t)$.

Find a Set of Parametric Equations for the Rectangular Equation t=2−xx=5y−2\begin{array} { l } t = 2 - x \\x = 5 y - 2\end{array}t=2−xx=5y−2​

Find a Set of Parametric Equations for the Rectangular Equation $\begin{array} { l } t = 2 - x \\x = 5 y - 2\end{array}$