The Domain of an Algebraic Expression: More than one unknown

Note that we have two unknowns, a and b, and we are also given values for them,

Therefore, let's start by substituting these values in the equation instead of the unknowns:

8*2-1/3*(7+2)=

When there is a number before parentheses, it's like having a multiplication sign between them.

Let's start solving according to the order of operations, beginning with the parentheses:

8*2-1/3*(9)=

Now let's continue with multiplication and division:

16-9/3=
16-3=

‎‎‎‎‎‎‎13

And that's the solution!

Let's insert the given data into the expression:

8*50-0(7+50) =
400-0*57 =
400-0 =
400

We have the given exercise, and it has two variables, X and Y.

In this case, we are given the values of these variables,

Therefore, what we need to do is substitute them in the relevant place in the exercise:

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

We know that x=0, so we will replace every X in the exercise with 0:

8(0-7)+4(6-2y)=
8(-7)+4(6-2y)=
-56+4(6-2y)=

We'll do the same thing with y, knowing that it equals -1

-56+4(6-2*(-1))=
-56+4(6-(-2)))=

-56+4(8)=

-56+32=

-24

And that's the solution!

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

• Step 1: Identify the expression and the given values for $a$ and $b$.
• Step 2: Substitute the given values into the expression.
• Step 3: Simplify the expression to find the result.

Let's work through the solution:

Given the algebraic expression:
$8a - b(7 + a)$.

Substitute $a = -\frac{1}{2}$ and $b = \frac{2}{13}$ into the expression:

$8(-\frac{1}{2}) - \frac{2}{13}(7 + (-\frac{1}{2}))$.

Start by simplifying each part:
$8(-\frac{1}{2}) = -4$.

Then simplify $(7 + (-\frac{1}{2}))$:
$7 - \frac{1}{2} = 6\frac{1}{2} = \frac{13}{2}$.

Now substitute back:
$-4 - \frac{2}{13} \times \frac{13}{2}$.

Simplify the multiplication:
$\frac{2}{13} \times \frac{13}{2} = 1$.

Therefore, the expression simplifies to:
$-4 - 1 = -5$.

Thus, the solution to the problem is $-5$.

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

• Step 1: Substitute the given values into the expression.
• Step 2: Simplify the expression step-by-step.
• Step 3: Evaluate and find the final result.

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 $-8$.

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 $\mathbf{19.8}$.