If x + 2y = 27 and x - 2y = -1, find the value of y.
7
Add the two equations: (x+2y) + (x−2y) = 27 + (−1) → 2x = 26 → x = 13.
Subtract: (x+2y) − (x−2y) = 27 − (−1) → 4y = 28 → y = 7.
So y = 7.
Hence, 7.
If 2x(x + y + z) = 250, 2y(x + y + z) = 100, 2z(x + y + z) = 100, then find the value of (3x + 6y + 15z).
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1 + tan 15° cot 75° is equal to:
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If A = 60° and B = 30°, find the value of \(\frac{(\tan A-\tan B)}{(1+\tan A \tan B)}\).