Find the value of :
5x – 3y when x = 2 and y = -5

Answer

To find the value of the expression \( 5x - 3y \) when \( x = 2 \) and \( y = -5 \), we can follow these steps:

### Step 1: Substitute the values of \( x \) and \( y \) into the expression.
We have the expression:
\[ 5x - 3y \]
Now, substitute \( x = 2 \) and \( y = -5 \):
\[ 5(2) - 3(-5) \]

### Step 2: Calculate \( 5(2) \).
Multiply \( 5 \) by \( 2 \):
\[ 5 \times 2 = 10 \]

### Step 3: Calculate \( -3(-5) \).
Multiply \( -3 \) by \( -5 \):
\[ -3 \times -5 = 15 \]
(Note: The product of two negative numbers is positive.)

### Step 4: Combine the results from Step 2 and Step 3.
Now, we can combine the results:
\[ 10 + 15 \]

### Step 5: Calculate the final result.
Add \( 10 \) and \( 15 \):
\[ 10 + 15 = 25 \]

### Final Answer:
The value of \( 5x - 3y \) when \( x = 2 \) and \( y = -5 \) is \( 25 \).

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