Write each equation in slope-intercept form. Without graphing the equations, state whether the system of equations is
consistent, inconsistent, or dependent. Also indicate whether the system has exactly one solution, no solution, or an
infinite number of solutions.
-$$\begin{array} { l }
2 x - 6 y = 5 \
- 8 x + 24 y = - 15
\end{array}$$
A)dependent
B)consistent
C)inconsistent infinite number of solutions one solution no solution

Question

Write each equation in slope-intercept form. Without graphing the equations, state whether the system of equations is
consistent, inconsistent, or dependent. Also indicate whether the system has exactly one solution, no solution, or an
infinite number of solutions.
-$$\begin{array} { l } 
2 x - 6 y = 5 \
- 8 x + 24 y = - 15
\end{array}$$
A)dependent
B)consistent
C)inconsistent infinite number of solutions one solution no solution

Quizplus · Accepted Answer

The equations are inconsistent because when simplified, they represent parallel lines with no intersection, hence no solution.

Write Each Equation in Slope-Intercept Form 2x−6y=5−8x+24y=−15\begin{array} { l } 2 x - 6 y = 5 \\- 8 x + 24 y = - 15\end{array}2x−6y=5−8x+24y=−15​

Write Each Equation in Slope-Intercept Form $\begin{array} { l } 2 x - 6 y = 5 \\- 8 x + 24 y = - 15\end{array}$