## Elementary Algebra

$2$
RECALL: $a-(-b) = a+ b$ Thus, $-17-(-19) \\= -17+19$ The numbers being added have different signs. To add the numbers, perform the following steps: (1) Subtract the bigger absolute value by the smaller absolute value to obtain: $|19| - |-17| =19-17 =2$ (2) The sum of the two numbers will be the same as the sign of the number with the bigger absolute value. Note that $|19| \gt |-17|$. Thus, $-17+19 = 2$