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.
-$$\begin{array} { l }
x + 7 y = - 2 \
- 4 x - 28 y = 8
\end{array}$$
A)consistent
B)inconsistent
C)dependent one solution no solution infinite number of solutions

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.
-$$\begin{array} { l } 
x + 7 y = - 2 \
- 4 x - 28 y = 8
\end{array}$$
A)consistent
B)inconsistent
C)dependent one solution no solution infinite number of solutions

Quizplus · Accepted Answer

dependent, infinite number of solutions.The second equation is a multiple of the first (multiplying the first equation by -4 gives the second), indicating the lines are coincident (the same line), so the system is dependent with an infinite number of solutions.

Write Each Equation in Slope-Intercept Form x+7y=−2−4x−28y=8\begin{array} { l } x + 7 y = - 2 \\- 4 x - 28 y = 8\end{array}x+7y=−2−4x−28y=8​

Write Each Equation in Slope-Intercept Form $\begin{array} { l } x + 7 y = - 2 \\- 4 x - 28 y = 8\end{array}$