Final answer:
The set of coordinates that satisfies the equation 3x - 2y = 15 is option D (10,7.5).
Step-by-step explanation:
The question asks which set of coordinates satisfies the equations 3x - 2y = 15 and an unspecified second equation which seems to be a typo because it includes 'e' and it's not in a standard algebraic form. Hence, we can only check what coordinates satisfy the first equation.
From the given options, we can substitute the x and y values into the first equation to determine if they satisfy it:
- For option A (2,7), substituting in gives 3(2) - 2(7) = 6 - 14 = -8, which does not equal 15.
- For option B (1,6), substituting in gives 3(1) - 2(6) = 3 - 12 = -9, which does not equal 15.
- For option C (0,1), substituting in gives 3(0) - 2(1) = 0 - 2 = -2, which does not equal 15.
- For option D (10,7.5), substituting in gives 3(10) - 2(7.5) = 30 - 15 = 15, which does equal 15. Therefore, coordinates (10,7.5) satisfy the first equation.