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If 5x+6=10, what is the value of 10x + 3...

If `5x+6=10`, what is the value of `10x + 3` ?

A

4

B

9

C

11

D

20

Text Solution

Verified by Experts

Choice C is correct. Subtracting 6 from each side of 5x + 6 = 10 yields 5x = 4. Dividing both sides of 5x = 4 by 5 yields x = `(4)/(5)` . The value of x can now be substituted into the expression 10x + 3, giving 10 `((4)/(5))` + 3 = 11.
Alternatively, the expression 10x + 3 can be rewritten as 2(5x + 6) − 9, and 10 can be substituted for 5x + 6, giving 2(10) − 9 = 11.
Choices A, B, and D are incorrect. Each of these choices leads to 5x + 6 `ne` 10, contradicting the given equation, 5x + 6 = 10. For example, choice A is incorrect because if the value of 10x + 3 were 4, then it would follow that x = 0.1, and the value of 5x + 6 would be 6.5, not 10.
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