The system is linear. $$\left\{ \begin{array} { r }
x + \sqrt { 2 } y + z + w = e ^ { 2 } \
3 x + 2 y - z - w = 0 \
x + e ^ { 2 } y + z + 2 w = 1 \
x + y + z + w = 1
\end{array} \right.$$

Question

The system is linear. $$\left\{ \begin{array} { r } 
x + \sqrt { 2 } y + z + w = e ^ { 2 } \
3 x + 2 y - z - w = 0 \
x + e ^ { 2 } y + z + 2 w = 1 \
x + y + z + w = 1
\end{array} \right.$$

Quizplus · Accepted Answer

A linear system is a set of linear equations, which means that each term is either a constant or a coefficient multiplied by a variable. In this system, all terms fit this definition, so it is linear.

The System Is Linear