Solve the Expression: 8(x-7)+4(6-2y) with x=7.1 and y=5/8

What will be the result of this algebraic expression:

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

if we place

$x=7.1,y=\frac{5}{8}$

Video Solution

Solution Steps

00:00 Substitute and solve

00:03 Let's substitute appropriate values according to the given data and solve

00:22 Always solve parentheses first

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

00:33 Negative times positive always equals negative

00:44 Continue solving according to the correct order of operations

01:03 And this is the solution to the question

Step-by-Step Solution

To solve the problem, we need to substitute the given values into the expression and simplify:

Step 1: Substitute $x = 7.1$ into the expression $8(x-7)$ .
This gives us $8(7.1-7) = 8(0.1) = 0.8$ .
Step 2: Substitute $y = \frac{5}{8}$ into the expression $4(6-2y)$ .
First, calculate $2y = 2 \times \frac{5}{8} = \frac{10}{8} = 1.25$ .
Then, $6 - 1.25 = 4.75$ .
Finally, $4(4.75) = 19$ .
Step 3: Add the results from Step 1 and Step 2.
That is $0.8 + 19 = 19.8$ .

Therefore, the result of the expression $8(x-7) + 4(6-2y)$ with $x = 7.1$ and $y = \frac{5}{8}$ is $\mathbf{19.8}$ .