5. If x = a, y = b is the solution of the pair equation x - y = 2 and x + y = 4, then what
will be value of a and b.
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Answer:
here is your answer mate...
Step-by-step explanation:
given, x=a and y=b.
Given equations, x-y=2( assume it as equation 1)
x+y=4( assume it as equation 2)
Equation 1+2,
x-y=2
x+y=4
- - - - - - -
2x=6( y gets cancelled as there is a negative y and a positive y implies y-y=0)
x=6/2
x=3
But x=a implies a=3
substitute a in equation 1 (it can be substituted even in equation 2)
x-y=2
3-y=2
y=3-2
y=1
But y=b implies b=1
Therefore, a=3 and b=1
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