Solve the system by any method.
-$$\left\{ \begin{array} { l }
\frac { x } { 2 } + \frac { y } { 3 } = 4 \
\frac { x } { 4 } + \frac { y } { 6 } = 2
\end{array} \right.$$
A) one ordered-pair solution
B) infinitely many solutions
C) no solution

Question

Solve the system by any method.
-$$\left\{ \begin{array} { l } 
\frac { x } { 2 } + \frac { y } { 3 } = 4 \
\frac { x } { 4 } + \frac { y } { 6 } = 2
\end{array} \right.$$
A) one ordered-pair solution
B) infinitely many solutions
C) no solution

Quizplus · Accepted Answer

The second equation is exactly half of the first equation, which means every solution to the first equation is also a solution to the second. This indicates the two lines are identical, leading to infinitely many solutions.

Solve the System by Any Method {x2+y3=4x4+y6=2\left\{ \begin{array} { l } \frac { x } { 2 } + \frac { y } { 3 } = 4 \\\frac { x } { 4 } + \frac { y } { 6 } = 2\end{array} \right.{2x​+3y​=44x​+6y​=2​

Solve the System by Any Method $\left\{ \begin{array} { l } \frac { x } { 2 } + \frac { y } { 3 } = 4 \\\frac { x } { 4 } + \frac { y } { 6 } = 2\end{array} \right.$