3tan (2t) = sqrt(3)
tan (2t) = sqrt(3)/3 = 0.577
from tangent tables, 2t = 30 degrees
t = 15 degrees
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3t + 7 = 2t - 5 3t = 2t - 12 t = -12
-2t = -10
Without an equality sign the given expression can't be considered to be an equation and so therefore no solution is possible.
2t+3 = -11 Subtract 3 from both sides: 2t+3-3 = -11-3 2t = -14 Divide both sides by 2 in order to find the value of t: t = -7
5t + 2 = 3t - 2t + 5 Collect like terms 5t - 3t + 2t = 5 - 2 4t = 3 t = ¾ Check: 5 x 3/4 = 3¾ + 2 = 5¾; 3x¾- 2x¾ + 5 = 5¾ QED