# SOLUTION: Solve the following system of equations. x+4y=5 (1) x=6-4y (2) What is the solution of the system?

Algebra ->  Algebra  -> Equations -> SOLUTION: Solve the following system of equations. x+4y=5 (1) x=6-4y (2) What is the solution of the system?      Log On

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 Question 163088: Solve the following system of equations. x+4y=5 (1) x=6-4y (2) What is the solution of the system?Found 2 solutions by joecbaseball, checkley77:Answer by joecbaseball(37)   (Show Source): You can put this solution on YOUR website!Ok, here is the solution: There are a few different ways to solve a system of equations. The one I will use is the substitution method, since one of the variables (x) is already isolated in the second equation. So, since, by the second equation, x = 6 - 4y, we can substitute that value of x into the first equation. When we do, we get: (6 - 4y) + 4y = 5 Then 6 - 4y + 4y = 5 Then 6 = 5, which is not true, it is a contradiction, and therefore, this system of equations has no solution! Good luck ! JoeC Answer by checkley77(12569)   (Show Source): You can put this solution on YOUR website!x+4y=5 x=6-4y x+4y=6 x+4y=5 now subtract. ------------------- 0x+0x=1 No solution for x or y. When plotted these two lines are parallel. 4y=-x+5 or y=-x/4+5/4 (red line) 4y=-x+6 or y=-x/4+6/4 or y=-x/4+3/2 (green line) (graph 300x200 pixels, x from -5 to 5, y from -3 to 3, of TWO functions -x/4 +5/4 and -x/4 +3/2).