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

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

5 answers

To solve the equation 153x94=12, we will first simplify and rearrange the equation.

  1. Combine terms on the left side:

    153x13=12

  2. Add 13 to both sides:

    153x=12+13

    153x=25

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

    15=253x

    15=75x

  4. Divide both sides by 75:

    x=1575

    x=15

Now, we need to consider the condition x.

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

3x0x0

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

x0

In conclusion, the complete statement is:

The value that completes the set of equations is x0.

0 is wrong

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

The original equation is:

153x94=12

Step 1: Simplify the equation.

Combine the terms on the left side:

153x13=12

Add 13 to both sides:

153x=25

Step 2: Solve for x.

Multiply both sides by 3x:

15=253x

This can be rewritten as:

15=75x

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

x=1575=15

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:

3x0x0

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

x0

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!

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

The expression 153x9 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:

3x9=0

Step 1: Solve for x

Add 9 to both sides:

3x=9

Now, divide both sides by 3:

x=93=3

Conclusion:

The value of x that would cause the fraction 153x9 to be undefined is:

x=3

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