SOLUTION: -1/3x + 7 = 16, what is the value of 2x + 1? A. -5 B. -27 C. -53 D. -137

Algebra ->  Equations -> SOLUTION: -1/3x + 7 = 16, what is the value of 2x + 1? A. -5 B. -27 C. -53 D. -137      Log On


   

Question 81598: -1/3x + 7 = 16, what is the value of 2x + 1?
A. -5
B. -27
C. -53
D. -137
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
First solve for x using the equation:
.
%28-1%2F3%29x+%2B+7+=+16
.
Subtract 7 from both sides to get:
.
%28-1%2F3%29x+=+9
.
Then get x by itself on the left side by multiplying both sides by -3. When you do that
multiplication the equation becomes:
.
x+=+-27
.
Now that you know the value of x from the first equation, you can substitute that value into
the expression 2x+%2B+1 to get the answer to your question. When you do the substitution
the expression becomes:
.
2%2A%28-27%29+%2B+1+=+-54+%2B+1+=+-53
.
The answer to this problem is -53 which means that answer C is correct.
.
Hope this helps you to understand the problem.
.