SOLUTION: y+2x=-1 y-4=-2x first equation:y plus 2x equals negative 1. second equation: y minus 4 equals negative 2x.

Algebra ->  Expressions-with-variables -> SOLUTION: y+2x=-1 y-4=-2x first equation:y plus 2x equals negative 1. second equation: y minus 4 equals negative 2x.      Log On


   

Question 253163: y+2x=-1
y-4=-2x


first equation:y plus 2x equals negative 1.
second equation: y minus 4 equals negative 2x.
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
y+2x=-1
y-4=-2x --> y+2x=4
--------------
y+2x can't equal both -1 and 4. These are inconsistent, no solution.
If you graph them, you get 2 parallel lines, no intersection, no solution.

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
system%28y%2B2x=-1%2C%0D%0Ay-4=-2x%29
Solve either either equation for either letter.  I'll pick
the easies letter to solve for, which is y because it only
has an understood coefficient of 1 in either equation, whereas
x has other coefficients.  I could pick either equation, 
so I'll just arbitrarily pick the first one to solve for y: 

    y + 2x = -1

Add -2x to both sides:

    y + 2x = -1
       -2x     -2x
   ---------------
    y      = -1-2x

Now substitute (-1-2x) for y in the OTHER equations.

Substitute %28-1-2x%29 for y in


      y - 4 = -2x
 (1-2x) - 4 = -2x
 1 - 2x - 4 = -2x 
    -3 - 2x = -2x
        +2x   +2x
    -------------
    -3      = 0

Uh! Oh!  That's always false, -3 never equals 0, 
so there is no solution.

If you were to graph those two equations, you'd find
that they were parallel and never had any points in common.

Here they are graphed:



Edwin