How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #7x-6y=36# and #6y-7x=-36#?
1 Answer
Sep 26, 2017
see explanation
Explanation:
...to solve this graphically, you'll need to rewrite each of your 2 equations as the equation for a line:
Plot each of the lines. Your solution is the point at which they intersect. (IF they intersect.)
Eq. 1:
subtract 7x from both sides:
...divide both sides by -6:
graph{7/6x - 6 [-10, 10, -5, 5]}
Eq. 2:
add 7x to each side:
divide both sides by 6:
...which is the exact same equation, for the exact same line.
Therefore, there's no single point of intersection, and no single solution.
The question of whether the system is consistent/inconsistent may be moot - since they're both the same equation, it's not a proper system.
