The pair of equations X+Y=7 and X+Y+7=0 has
1)one solution
2)two solutions
3)no solution
4)Infinite number of solutions
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Let X + Y = 7 ........ i
X + Y + 7 = 0....... ii
in equation ii
X + Y = -7
X = -7 - Y ........... iii
Substituting iii in i we get
( -7 - Y ) + Y = 7
-7 - Y + Y = 7
-7 = 7
but they are not equal
so, the above set of equations do not have any no solution
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