1.If (x + y, 2x - 7) = (7, 1), find the value of x and y.
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ANSWER
y=−5x
2
+2x−7
Differentiating the above equation with respect to x, gives us
dx
dy
=−10x+2
For maximum,
dx
dy
=0
Or
2−10x=0
Or
x=
5
1
Hence the above expression reaches its maximum value at x=
5
1
.
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