Questions: Evaluate the expression for a=5 and b=-3. 4(a+b)-5 b The value of the expression 4(a+b)-5 b for a=5 and b=-3 is

Transcript text: Evaluate the expression for $\mathrm{a}=5$ and $\mathrm{b}=-3$. \[ 4(a+b)-5 b \] The value of the expression $4(a+b)-5 b$ for $a=5$ and $b=-3$ is $\square$

Solution

Solution Steps

To evaluate the expression $4(a+b) - 5b$ for $a=5$ and $b=-3$, we will substitute the given values of $a$ and $b$ into the expression and then perform the arithmetic operations.

Step 1: Substitute the given values into the expression

Given $a = 5$ and $b = -3$, we substitute these values into the expression $4(a + b) - 5b$.

Step 2: Simplify inside the parentheses

First, calculate $a + b$: \[ a + b = 5 + (-3) = 2 \]

Step 3: Multiply by 4

Next, multiply the result by 4: \[ 4(a + b) = 4 \times 2 = 8 \]

Step 4: Multiply $-5$ by $b$

Calculate $-5b$: \[ -5b = -5 \times (-3) = 15 \]

Step 5: Combine the results

Finally, combine the results from steps 3 and 4: \[ 4(a + b) - 5b = 8 + 15 = 23 \]