exam Maths Puzzle Numerical Ability

What is the slope of the line 3x= 5y-3?

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How much water should be added to one liter of pure alcohol to make a mixture of 50% alcohol? Find the solutions of the equation that are in the interval [0,2π). Please show steps (especially rearranging the equation to solve it. Thanks for helping me. I know the solution is 7pi/6, 11pi/6, pi/2.

sinb+2cos^(2)b=1