Question

Describe how you would solve the equation$-7.9x=86.9$?

Short answer

The value of given equation is $-11$.

Step-by-step solution

Step-1- Solving linear equations

$-7.9x= 86.9$

Dividing with $-7.9$on both sides give,

$\begin{array}{l}\frac{-7.9x}{-7.9}=\frac{86.9}{-7.9}\\ x=-\frac{86.9}{7.9}\\ x=-11\end{array}$

Step-2-Check the solution 

Substitute $x= -11$in the given expression and observe the result.

$\begin{array}{l}-7.9\times \left(-11\right)=86.9\\ 86.9=86.9\end{array}$

Since both sides are equal, the solution is correct.

Step-3-Conclusion

The solution of given equation is $x= -11$.