You can put this solution on YOUR website! Solve the system by graphing, addition and substitution methods.
x + y = 3, x + y = –1
These lines are parallel and do not intersect, therefore this system has no solution.
:
Graphically:
:
Addition:
x+y=3
x+y=-1
------Multiply either equation by -1 and add them together.
x+y=3
-1(x+y)=-1(-1)
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x+y=3
-x-y=1
_________
0x+0y=4
0=4
0 does not equal 4 and we can't solve for a variable, there's no solution.
:
Substitution:
x+y=3
x+y=-1
--------solve the first equation for y and substitute that in for y in the second equation and solve for x.
-x+x+y=3-x
y=3-x
--
x+(3-x)=-1
x+3-x=-1
3=-1
3 does not equal -1 and we can't solve for x, there's no solution.
Happy Calculating!!!
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