Solve the system of equations.
-$$\begin{array} { l l }
3 x + y = & 0 \
2 y + 4 z & = - 6
\end{array}$$
$$6 x - 2 y - 8 z = 12$$
A) $( - 1,3 , - 2 )$
B) $( - 2,3 , - 3 )$
C) Infinite number of solutions; dependent equations
D) No solution; inconsistent system of equations

Question

Solve the system of equations.
-$$\begin{array} { l l } 
3 x + y = & 0 \
2 y + 4 z & = - 6
\end{array}$$
$$6 x - 2 y - 8 z = 12$$
A) $( - 1,3 , - 2 )$
B) $( - 2,3 , - 3 )$
C) Infinite number of solutions; dependent equations
D) No solution; inconsistent system of equations

Quizplus · Accepted Answer

The given system of equations has three variables but only two independent equations, which means there are infinitely many solutions. The third equation is a multiple of the first, indicating dependent equations.

Solve the System of Equations 3x+y=02y+4z=−6\begin{array} { l l } 3 x + y = & 0 \\2 y + 4 z & = - 6\end{array}3x+y=2y+4z​0=−6​

Solve the System of Equations $\begin{array} { l l } 3 x + y = & 0 \\2 y + 4 z & = - 6\end{array}$