Question

Solve for x
in the following equation: 15/x+10+7=8
(

Answer 1

solve for x

Answer 2

-5/3 is wrong

Answer 3

Using the properties of inequality, justify both steps in solving the inequality: 3/5 x + 6 ≥ 36

What is the solution to the inequality?(1 point)

Answer 4

To solve the equation \( \frac{15}{x} + 10 + 7 = 8 \), we can follow these steps:

1. Combine like terms on the left side:
\[
\frac{15}{x} + 17 = 8
\]

2. Isolate the term \( \frac{15}{x} \) by subtracting 17 from both sides:
\[
\frac{15}{x} = 8 - 17
\]
\[
\frac{15}{x} = -9
\]

3. Now, we need to get \( x \) by multiplying both sides by \( x \) (assuming \( x \neq 0 \)):
\[
15 = -9x
\]

4. Solve for \( x \) by dividing both sides by -9:
\[
x = \frac{15}{-9}
\]
\[
x = -\frac{5}{3}
\]

Thus, the solution for \( x \) is:
\[
\boxed{-\frac{5}{3}}
\]

Answer 5

It seems you want to solve an equation for \( x \), but there isn't a specific equation provided in your latest message.

If you would like to solve the same equation as before, \( \frac{15}{x} + 10 + 7 = 8 \), we already found that:

\[
x = -\frac{5}{3}
\]

If you have a different equation in mind or would like me to help with another math problem, please provide the equation, and I'll assist you!

Answer 6

Let’s solve the equation step-by-step again and check the calculations.

Given the equation:

\[
\frac{15}{x} + 10 + 7 = 8
\]

1. First, combine like terms:
\[
\frac{15}{x} + 17 = 8
\]

2. Now, subtract 17 from both sides:
\[
\frac{15}{x} = 8 - 17
\]
\[
\frac{15}{x} = -9
\]

3. Next, to eliminate the fraction, multiply both sides by \( x \) (assuming \( x \neq 0 \)):
\[
15 = -9x
\]

4. Now solve for \( x \) by dividing both sides by -9:
\[
x = \frac{15}{-9}
\]
\[
x = -\frac{5}{3}
\]

After going through the calculations again, the result remains:

\[
x = -\frac{5}{3}
\]

If there is something specific that might have been misinterpreted or if there’s another equation you want me to solve, please let me know!

Answer 7

To solve the inequality \( \frac{3}{5} x + 6 \geq 36 \), we'll apply properties of inequalities step by step and justify each step.

**Step 1:** Subtract 6 from both sides.
- **Justification:** Subtracting the same number from both sides of an inequality does not change the direction of the inequality.

\[
\frac{3}{5} x + 6 - 6 \geq 36 - 6
\]

This simplifies to:

\[
\frac{3}{5} x \geq 30
\]

**Step 2:** Multiply both sides by \( \frac{5}{3} \).
- **Justification:** Multiplying both sides of an inequality by a positive number does not change the direction of the inequality. (Note: It is important to confirm that the multiplier is positive).

\[
x \geq 30 \cdot \frac{5}{3}
\]

Calculating the right side:

\[
30 \cdot \frac{5}{3} = 10 \cdot 5 = 50
\]

So, we have:

\[
x \geq 50
\]

Thus, the solution to the inequality is:

\[
\boxed{x \geq 50}
\]

### Summary:
1. Subtracting 6 from both sides to isolate the term with \( x \).
2. Multiplying by \( \frac{5}{3} \) to solve for \( x \).

Both steps are justified based on properties of inequalities.