Question

Writing In Example 1 on page 91, the subtraction property of equality is used to solve $x+9=-3$. Explain how you can also solve this equation using the addition property of equality

Short answer

Value of$x$= -12.

Step-by-step solution

Step-1-Using addition property of equality

$x+ 9 = -3$

Adding$\left(-9\right)$on both sides.

$\begin{array}{c}x+9+(-9)=-3+(-9)\\ x+9-9=-3-9\end{array}$

Step-2-Simplify the expression on right side

Add the two negative numbers, -3 and -9.

$\begin{array}{c}x=-3-9\\ x=-12\end{array}$

Step-3-Conclusion

Therefore, the solution of the equation is$x$ $=-12$.