Question

Solve the equation. Check your solution.

$\mathbf{3}\mathbf{.}\mathbf{2}\mathbf{r}\mathbf{+}\mathbf{14}\mathbf{.}\mathbf{7}\mathbf{=}\mathbf{-}\mathbf{6}\mathbf{.}\mathbf{74}$

Short answer

The solution for the equation $3.2r+14.7=-6.74$is$r=-6.7$.

Step-by-step solution

.  Separate the variable and constants

Write the original equation and separate the variables.

$\begin{array}{l}3.2r+14.7=-6.74\\ 3.2r=-6.74-14.7\\ 3.2r=-21.44\end{array}$

 Step 2 .  Solve for r

Now, divide both sides of the equation by 3.2.

$\begin{array}{l}\frac{r}{3.2}=\frac{-21.44}{3.2}\\ r=\frac{-21.44}{3.2}\\ r=-6.7\end{array}$

Therefore, the solution of the equation is $r=-6.7$.

.  Check the solution 

To check the solution, write the original equation and substitute the value of r.

$3.2r+14.7=-6.74$

Now, substitute $r=-6.7$and check the result.

$\begin{array}{c}3.2\left(-6.7\right)+14.7=-6.74\\ -21.44+14.7=-6.74\\ -6.74=-6.74\end{array}$

As the left-hand side is equal to right hand side, this signifies that the solution is correct..