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敬 ${ }^{2}$ Find the missing number so that the equation has no solutions $3 x+18=\square x+12$ Submit

Studdy Solution

STEP 1

1. The equation $3x + 18 = \square x + 12$ should be modified so that it has no solutions.
2. An equation has no solutions when the variable terms are the same on both sides, but the constant terms are different.
3. We need to find the number that makes the equation have no solutions.

STEP 2

1. Understand the condition for an equation to have no solutions.
2. Set the variable terms equal and adjust the constant terms.
3. Solve for the missing number in the equation.

STEP 3

To make the equation have no solutions, the coefficients of $x$ on both sides must be equal, but the constant terms must be different.

STEP 4

Set the coefficients of $x$ equal by determining the missing number:
The coefficient of $x$ on the left side is $3$ . Therefore, the missing number should also be $3$ to make the variable terms equal.

STEP 5

Substitute the missing number with $3$ and check the constant terms:
The equation becomes:
$3x + 18 = 3x + 12$
Now, compare the constant terms:
The left side has $18$ and the right side has $12$ .
Since $18 \neq 12$ , the equation has no solutions.
The missing number is:
$\boxed{3}$

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