What value will complete the set of equations 15/3x−9 −4=12 and x ≠

Question

_____?
The value that completes the set of equations is x ≠ __

Answer 1

To solve the equation $\frac{15}{3x}-9-4=12$, we will first simplify and rearrange the equation.

1. Combine terms on the left side:

   $$\frac{15}{3x}-13=12$$

2. Add 13 to both sides:

   $$\frac{15}{3x}=12+13$$

   $$\frac{15}{3x}=25$$

3. Multiply both sides of the equation by $3x$:

   $$15=25\cdot 3x$$

   $$15=75x$$

4. Divide both sides by 75:

   $$x=\frac{15}{75}$$

   $$x=\frac{1}{5}$$

Now, we need to consider the condition $x\ne \dots$.

Since $3x$ cannot be zero (as it would make the denominator zero in the original equation), we find:

$$3x\ne 0⟹x\ne 0$$

Thus, the value that completes the set of equations is:

$$x\ne 0$$

In conclusion, the complete statement is:

The value that completes the set of equations is $x\ne 0$.

Answer 2

0 is wrong

Answer 3

Let's reconsider the original equation and the requirement for $x$ to clarify what values it specifically cannot take.

The original equation is:

$$\frac{15}{3x}-9-4=12$$

Step 1: Simplify the equation.

Combine the terms on the left side:

$$\frac{15}{3x}-13=12$$

Add $13$ to both sides:

$$\frac{15}{3x}=25$$

Step 2: Solve for $x$.

Multiply both sides by $3x$:

$$15=25\cdot 3x$$

This can be rewritten as:

$$15=75x$$

To find $x$, we can divide both sides by $75$:

$$x=\frac{15}{75}=\frac{1}{5}$$

Step 3: Determine the restrictions on $x$.

The original equation includes a fraction, which implies that the denominator cannot be zero:

From $3x$ in the denominator, we must have:

$$3x\ne 0⟹x\ne 0$$

Therefore, the value that completes the set of equations is:

$$x\ne 0$$

This is correct—is there a specific value or condition you were expecting other than this? If you have any other constraints in mind or would like to clarify further, please let me know!

Answer 4

What value of x would cause the fraction 15/3x−9 to be undefined?

Answer 5

The expression $\frac{15}{3x-9}$ will be undefined when the denominator is equal to zero. To find the value of $x$ that causes this, we set the denominator equal to zero and solve for $x$:

$$3x-9=0$$

Step 1: Solve for $x$

Add $9$ to both sides:

$$3x=9$$

Now, divide both sides by $3$:

$$x=\frac{9}{3}=3$$

Conclusion:

The value of $x$ that would cause the fraction $\frac{15}{3x-9}$ to be undefined is:

$$x=3$$

This means the fraction is undefined when $x$ is equal to $3$.