Evaluate the Expression: 8(x-7)+4(6-2y) with x=8 and y=5

What will be the result of this algebraic expression:

$8(x-7)+4(6-2y)$

if we place

$x=8,y=5$

Video Solution

Solution Steps

00:00 Set up and solve

00:03 Substitute appropriate values according to the given data and solve

00:19 Always solve parentheses first

00:29 Always solve multiplication and division before addition and subtraction

00:42 Positive times negative always equals negative

00:48 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

Now, let's work through each step:

Step 1: Substitute $x = 8$ and $y = 5$ into the expression:
$8(x-7) + 4(6-2y) \rightarrow 8(8-7) + 4(6-2 \times 5)$ .

Step 2: Simplify the expression:
- First, evaluate $8(8-7)$ . Since $(8-7) = 1$ , we have:
$8 \times 1 = 8$ .

- Next, evaluate $4(6-2 \times 5)$ . Compute $2 \times 5 = 10$ , so $6 - 10 = -4$ .
Therefore, $4 \times (-4) = -16$ .

Step 3: Combine the terms:
$8 + (-16) = 8 - 16 = -8$ .

Therefore, the solution to the problem is $-8$ .