Question

In the following exercises, evaluate each expression.

$x+\left(-21\right)$when

(a) $x=-27$

(b)$x=44$

Short answer

(a)$-48$

(b) 23

Step-by-step solution

Part (a). Step 1. Given Information:

The given expression is $x+\left(-21\right)$and the value of the variable is $x=-27$.

Part (a). Step 2. Substitute the values:

Substitute $-27$for $x$into the given expression $x+\left(-21\right)$.

$-27+\left(-21\right)$

Part (a). Step 3. Perform Addition:

Add $-27$and $-21$in the obtained expression.

$-27+\left(-21\right)=-48$

Part (a). Step 4. Conclusion:

The value is$-48$.

Part (b). Step 1. Given Information:

The given expression is$x+\left(-21\right)$and the value of the variable is$x=44$.

Part (b). Step 2. Substitute the values:

Substitute 44 for $x$into the given expression $x+\left(-21\right)$.

$44+\left(-21\right)$

Part (b). Step 3. Perform Subtraction:

Rewrite the obtained expression using the subtraction property $a+\left(-b\right)=a-b$.

$44+\left(-21\right)=44-21$

Subtract 21 from 44.

$44-21=23$

Part (b). Step 4. Conclusion:

The value is 23.