Q20. - Algebra 1

Question

Solve each equation. Check your solution.

$-61=d+(-18)$

Step-by-Step Solution

Answer

The required solution is $d=-43$.

Step 1. Write the given information.

The given equation is:

$-61=d+\left(-18\right)$

Step 2. Calculation.

$\begin{array}{l}-61=d+\left(-18\right)\\ -61=d-18\left[\right(+\left)\right(-)=(-\left)\right]\\ -61+18=d-18+18\left[\text{Adding\hspace{0.17em}18\hspace{0.17em}on both sides}\right]\\ -43=d\text{\hspace{0.17em} or }d=-43\end{array}$

Step 3. Checking solution.

Substitute $d=-43$ in the given equation to check:

$\begin{array}{l}-61=d+\left(-18\right)\\ -61=-43-18\\ -61=-61\end{array}$ 

Hence, proved.