Finish the equation so that the equation has infinite amount of solutions. Click Here for Rubric 9 ( 6 𝑥 + 3 ) − 4 = 9(6x+3)−4=

1 answer

To create an equation with an infinite number of solutions, we want to simplify the given expression and then set it equal to an equivalent expression.

Let's start with the expression:

\[ 9(6x + 3) - 4 \]

First, simplify it:

  1. Distribute the 9: \[ 9(6x + 3) = 54x + 27 \]

  2. Subtract 4: \[ 54x + 27 - 4 = 54x + 23 \]

Now, the expression simplifies to:

\[ 54x + 23 \]

To create an equation with an infinite number of solutions, we can set it equal to itself:

\[ 54x + 23 = 54x + 23 \]

This equation is true for all values of \( x \), yielding an infinite number of solutions. Therefore, the completed equation is:

\[ 9(6x + 3) - 4 = 54x + 23 \]

Thus, the final answer can be expressed as:

\[ 9(6x + 3) - 4 = 9(6x + 3) - 4 \]