Question 3

Solve the proportion:
* - 8/2 = x+2/11
1 point
Captionless Image
A. x = -2.6
B. x = -46
C. x = 11
D. x = -6

1 answer

To solve the proportion \(-\frac{8}{2} = \frac{x+2}{11}\), we first simplify the left side:

\[ -\frac{8}{2} = -4. \]

Now, the equation is:

\[ -4 = \frac{x+2}{11}. \]

Next, we can eliminate the fraction by multiplying both sides by 11:

\[ -4 \cdot 11 = x + 2. \]

Calculating that gives:

\[ -44 = x + 2. \]

Now, to isolate \(x\), we subtract 2 from both sides:

\[ -44 - 2 = x, \]

which simplifies to:

\[ x = -46. \]

Thus, the solution is:

B. \(x = -46\).