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=

Answer 1

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:

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