Decide whether or not the equations are equivalent.
-$$\begin{array} { l }
x = 2 - 4 x \
3 x = 2
\end{array}$$
A) Not equivalent
B) Equivalent

Question

Decide whether or not the equations are equivalent.
-$$\begin{array} { l } 
x = 2 - 4 x \
3 x = 2
\end{array}$$
A) Not equivalent
B) Equivalent

Quizplus · Accepted Answer

To determine if the equations are equivalent, we can solve each for $x$ and see if they yield the same solution. For the first equation, $x = 2 - 4x$, adding $4x$ to both sides gives $5x = 2$, so $x = \frac{2}{5}$. For the second equation, $3x = 2$, solving for $x$ gives $x = \frac{2}{3}$. Since $\frac{2}{5} \neq \frac{2}{3}$, the equations are not equivalent.

Decide Whether or Not the Equations Are Equivalent x=2−4x3x=2\begin{array} { l } x = 2 - 4 x \\3 x = 2\end{array}x=2−4x3x=2​

Decide Whether or Not the Equations Are Equivalent $\begin{array} { l } x = 2 - 4 x \\3 x = 2\end{array}$