ook at the steps for solving the equation and choose a true statement.
3x−9x+1=2(−3x+1)−1
−6x+1=−6x+2−1
−6x+1=−6x+1
(1 point)
Responses
There is no solution to the equation.
There is no solution to the equation.
There are infinitely many solutions to the equation.
There is no way to know if there is a solution to the equation.
The only solution to the equation is -6.
The only solution to the equation is 1.
There are infinitely many solutions to the equation.
To solve the equation, let's go through each step:
Step 1: Distribute the 2 on the right side:
3x − 9x + 1 = -6x + 2 - 1
Step 2: Combine like terms on both sides:
-6x + 1 = -6x + 1
Now, let's analyze the equation. We can see that the variable term, -6x, appears on both sides of the equation. This suggests that it cancels out and leaves us with a true statement.
Therefore, the correct statement is: There are infinitely many solutions to the equation.
The correct true statement is:
There are infinitely many solutions to the equation.