Solve the system of equations using determinants.
-$$\begin{array} { l }
4 x + y = 21 \
4 x + y = 37
\end{array}$$
A)(12, 9)
B)(9, 17)
C)infinite number of solutions
D)no solution

Question

Solve the system of equations using determinants.
-$$\begin{array} { l } 
4 x + y = 21 \
4 x + y = 37
\end{array}$$
A)(12, 9)
B)(9, 17)
C)infinite number of solutions
D)no solution

Quizplus · Accepted Answer

The two equations are identical in terms of the coefficients of $x$ and $y$, but they have different constant terms (21 and 37). This means the lines represented by these equations are parallel and never intersect, leading to no solution.

Solve the System of Equations Using Determinants 4x+y=214x+y=37\begin{array} { l } 4 x + y = 21 \\4 x + y = 37\end{array}4x+y=214x+y=37​

Solve the System of Equations Using Determinants $\begin{array} { l } 4 x + y = 21 \\4 x + y = 37\end{array}$