Find the value of each of the following algebraic expressions.
22-5x - 3y, where x = 5, y=-4

Answer

To find the value of the algebraic expression \( 22 - 5x - 3y \) where \( x = 5 \) and \( y = -4 \), follow these steps:

### Step 1: Substitute the values of \( x \) and \( y \)
We start with the expression:
\[ 22 - 5x - 3y \]
Substituting \( x = 5 \) and \( y = -4 \):
\[ 22 - 5(5) - 3(-4) \]

### Step 2: Calculate \( 5(5) \) and \( 3(-4) \)
Now, calculate \( 5(5) \):
\[ 5(5) = 25 \]
Next, calculate \( 3(-4) \):
\[ 3(-4) = -12 \]
Since we are subtracting a negative, it becomes addition:
\[ -3(-4) = +12 \]

### Step 3: Substitute back into the expression
Now substitute these values back into the expression:
\[ 22 - 25 + 12 \]

### Step 4: Perform the calculations
First, calculate \( 22 - 25 \):
\[ 22 - 25 = -3 \]
Now, add \( 12 \):
\[ -3 + 12 = 9 \]

### Final Answer
Thus, the value of the expression \( 22 - 5x - 3y \) is:
\[ \boxed{9} \]