if x=a and y=b is solution of equation x+y=6 and x-y=2 , then find values of a and b.
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If x+y=6 x-y=2, what is the value of x and y?
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Narendra Hadkar, Working as Insurance Advisor and Private Tutor (2001-present)
Answered 1 year ago
We have to solve both the equation simultaneously.
x+y=6. Equation I
x-y=2. Equation II
By adding eq. I &II, we get
x+y=6
x-y=2
________
2x+0=8
Now 2x=8
Therefore x=8÷2
Therefore x=4
Now substitute x= 4 in any of the equation
Let's put x=4 in equation I, we get,
x+y=6
Therefore 4+y=6
Therefore y=6–4
Therefore y= 2
Answer x=a=4 & y=b=2 is the answer of the given equation.
Just check the proof:
x+y=6
4+2=6
And
x-y=2
4–2=2
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