Find the value of x^2+y^2 if x-y=2and x+y=3
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x + y = 3. - - - ( l )
x - y = 2. - - - ( 'll )
by adding the equations ( l ) & ( 'll ) we get
2x = 5
x = 2.5
putting x = 2.5 in equation ( l ) we get
2.5 + y = 3
y = 3 - 2.5
y = 0.5
x^2 + y^2 = (2.5)^2 + (0.5)^2
= 6.25 + 0.25
= 6.50
so your required answer is 6.50
x - y = 2. - - - ( 'll )
by adding the equations ( l ) & ( 'll ) we get
2x = 5
x = 2.5
putting x = 2.5 in equation ( l ) we get
2.5 + y = 3
y = 3 - 2.5
y = 0.5
x^2 + y^2 = (2.5)^2 + (0.5)^2
= 6.25 + 0.25
= 6.50
so your required answer is 6.50
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