Question

solve the equation below, where there are c terms on both sides of the equation. whats the value of c?subtract 11 from both sides, then rewrite the equation to represent the remaining values.11 + 2c = 19 - 2c- 11 - 11=

Explanation:

Step1: Subtract 11 from both sides

$$\begin{align*} 11 + 2c - 11 &= 19 - 2c - 11\\ 2c &= 8 - 2c \end{align*}$$

Step2: Add 2c to both sides

$$2c + 2c = 8 - 2c + 2c$$
$$4c = 8$$

Step3: Divide by 4 to solve for c

$$c = \frac{8}{4}$$

Answer:

$c=2$
The filled-in blanks after subtracting 11 are: $\boldsymbol{2c}$ (top blank) and $\boldsymbol{8-2c}$ (bottom blank)