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38 votes
38 votes
Solve the proportion.

A. 12
B. 2
C. 8
D. 16

Solve the proportion. A. 12 B. 2 C. 8 D. 16-example-1
User Ahmed Syed
by
2.9k points

1 Answer

6 votes
6 votes

D. 16

Cross multiply, to cancel the denominator; so if you multiple by 6 on one side, to cancel the division of 6 - you must also multiply the other side by 6 & vice versa.

You get:

8(x-4) = 6x

Expand bracket to get:

8x - 32

Now solve for x :

8x - 32 = 6x

- 8x

- 32. = - 2x

÷ - 2

16 = x

Or

8x - 32 = 6x

+ 32

8x. = 6x + 32

- 6x

2x. = 32

÷2

x =16

Check:

16 - 4 = 12, then ÷ 6 is 2

16/8 = 2

Hope this helps!

User AnotherUser
by
2.5k points