SOLUTION: Suppose that 2x +3y = 6 is one equation of a system. Find the second equation given that (4,8) satisfies the second equation and the system is inconsistent

Algebra ->  Linear-equations -> SOLUTION: Suppose that 2x +3y = 6 is one equation of a system. Find the second equation given that (4,8) satisfies the second equation and the system is inconsistent      Log On


   

Question 356148: Suppose that 2x +3y = 6 is one equation of a system. Find the second equation given that (4,8) satisfies the second equation and the system is inconsistent
Found 2 solutions by Fombitz, solver91311:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Inconsistent means the lines are parallel.
THe other system would look like, 2x%2B3y=a
Use the point to determine a.
a=2%284%29%2B3%288%29=8%2B24=32
highlight%282x%2B3y=32%29

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If the system is inconsistent, the graphs are parallel. The second equation then has the same slope as the first. Put the first equation into slope intercept form and determine the slope by inspection. Use that slope and the given point in the point-slope form of an equation of a line to write your desired equation.



where are the coordinates of the given point and is the derived slope.

John

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