Decide if the system of equations in two variables is linear or nonlinear.
-$$\left\{ \begin{array} { l }
x ^ { 2 } = 4 y + 2 \
7 x - y = 3
\end{array} \right.$$
A) Nonlinear
B) Linear

Question

Decide if the system of equations in two variables is linear or nonlinear.
-$$\left\{ \begin{array} { l } 
x ^ { 2 } = 4 y + 2 \
7 x - y = 3
\end{array} \right.$$
A) Nonlinear
B) Linear

Quizplus · Accepted Answer

The first equation is nonlinear because it contains a squared variable term. A system of equations is linear only if the variables are raised to the power of 1 (not 2, 3, etc.) and the coefficients are constants (not functions of the variables). Therefore, this system is nonlinear.

Decide If the System of Equations in Two Variables Is {x2=4y+27x−y=3\left\{ \begin{array} { l } x ^ { 2 } = 4 y + 2 \\7 x - y = 3\end{array} \right.{x2=4y+27x−y=3​

Decide If the System of Equations in Two Variables Is $\left\{ \begin{array} { l } x ^ { 2 } = 4 y + 2 \\7 x - y = 3\end{array} \right.$