2a + 5b = 8

8a + 3b = 15

We see that if we multiply the 1st equation by -4, we can cancel out the a.

-8a - 20b = -32

8a + 3b = 15

Adding the equations together...

-17b = -17

**b = 1 hour**

2a + 5(1) = 8

2a + 5 = 8

2a = 3

**a = 3/2 = 1 1/2 hours**

Threa S.

asked • 10/12/20Ravi the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Friday there were 2 clients who did Plan A and 5 who did Plan B. On Saturday there were 8 clients who did Plan A and 3 who did Plan B. Ravi trained his Friday clients for a total of 8 hours and his Saturday clients for a total of 15 hours. How long does each of the workout plans last?

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2a + 5b = 8

8a + 3b = 15

We see that if we multiply the 1st equation by -4, we can cancel out the a.

-8a - 20b = -32

8a + 3b = 15

Adding the equations together...

-17b = -17

**b = 1 hour**

2a + 5(1) = 8

2a + 5 = 8

2a = 3

**a = 3/2 = 1 1/2 hours**

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