A system of equations is given in which each question is written in slope-intercept form. Determine the
number of solutions. If the system does not have one unique solution, state whether the system is
inconsistent or whether the equations are dependent.
-$$\begin{array} { l }
y = \frac { 9 } { 4 } x - 5 \
y = \frac { 9 } { 4 } x - 5
\end{array}$$
A) One solution
B) Infinitely many solutions; The equations are dependent.
C) No solution; The system is inconsistent.

Question

A system of equations is given in which each question is written in slope-intercept form. Determine the
number of solutions. If the system does not have one unique solution, state whether the system is
inconsistent or whether the equations are dependent.
-$$\begin{array} { l } 
y = \frac { 9 } { 4 } x - 5 \
y = \frac { 9 } { 4 } x - 5
\end{array}$$
A) One solution
B) Infinitely many solutions; The equations are dependent.
C) No solution; The system is inconsistent.

Quizplus · Accepted Answer

The two equations are identical, meaning every solution that works for one equation will work for the other. This results in infinitely many solutions, and the equations are considered dependent.

A System of Equations Is Given in Which Each Question y=94x−5y=94x−5\begin{array} { l } y = \frac { 9 } { 4 } x - 5 \\y = \frac { 9 } { 4 } x - 5\end{array}y=49​x−5y=49​x−5​

A System of Equations Is Given in Which Each Question $\begin{array} { l } y = \frac { 9 } { 4 } x - 5 \\y = \frac { 9 } { 4 } x - 5\end{array}$