Question

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:

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