Problem
Submit Question Question 7 $0 / 6$ pts $4 \rightleftarrows 99$ Details Solve the system of equations by graphing: \[ \left\{\begin{array}{l} y+4 x=-17 \\ 2 y=-8 x-34 \end{array}\right. \] Enter your answer as a numbers. If the system is inconsistent (has no solutions), enter DNE (for "does not exist") into each box. If the system is dependent (infinite number of solutions), enter oo into each box (for infinity. These are double letter o's, no zero's.) Answer: $(x, y)=($, Question Help: $\square$ Video $\square$ Message instructor Submit Question
Solution
Step 1 ：Convert the first equation to slope-intercept form: \( y = -4x - 17 \)
Step 2 ：Convert the second equation to slope-intercept form: \( y = -4x - 17 \)
Step 3 ：Graph both equations and look for the point of intersection
Step 4 ：Since both equations have the same slope and y-intercept, they are the same line and overlap completely
Step 5 ：Therefore, there is no single point of intersection, and the system has no unique solution
Step 6 ：Final Answer: \( \boxed{DNE} \)
