If 5b=6a+16 and 9a=7b-20, then what is the value of 3a-2b?

A) - 8

B) - 4

C) 4

D) 8

Question

Conner Best

SAT

25 August, 19:33

If 5b=6a+16 and 9a=7b-20, then what is the value of 3a-2b?

A) - 8

B) - 4

C) 4

D) 8

+1

Answers (1)

Know the Answer?

Whitney Acevedo · Answer 1

B) - 4

5b=6a+16

9a=7b-20

b = (6/5) a + (16/5)

9a=7 ((6/5) a + (16/5)) - 20

9a = (42/5) a+12/5

(3/5) a=12/5

a=4

5b=6 (4) + 16

5b=24+16

5b=40

b=8

3 (4) - 2 (8)

12-16=-4

If 5b=6a+16 and 9a=7b-20, then what is the value of 3a-2b?A) - 8B) - 4C) 4D) 8

If 5b=6a+16 and 9a=7b-20, then what is the value of 3a-2b?

A) - 8

B) - 4

C) 4

D) 8