Question

Solve for the given replacement set.

A. 2.5y = 15  {0.6,6,60}

B. m -18 = 56  {38,64,74}

Answer 1

A) The equation is 2.5y = 15 and replacement set is {0.6, 6, 60}. 

Replace 0.6 for y.

 2.5(0.6) ≟ 15

1.5 ≠ 15

So, 0.6 is not a solution.

Replace 6 for y.

 2.5(6) ≟ 15

15 = 15 True

So, 6 is a solution.

Replace 60 for y.

 2.5(60) ≟ 15

150 ≠ 15

So, 60 is not a solution.

The solution set is {6}.

B) The equation is m - 18 = 56 and replacement set is {38, 64, 74}.

Replace 38 for m.

38 - 18  ≟ 56

20 ≠ 56

So, 38 is not a solution.

Replace 64 for m.

 64 - 18  ≟ 56

46 ≠ 56

So, 64 is not a solution.

Replace 74 for m.

 74 - 18  ≟ 56

56 = 56

So, 74 is a solution.

The solution set is {74}.