Question
Look at the steps for solving the equation and choose a true statement. also exsplan why
3x−9x+1=2(−3x+1)−1
−6x+1=−6x+2−1
−6x+1=−6x+1
(1 point)
Responses
The only solution to the equation is 1.
The only solution to the equation is 1.
There are infinitely many solutions to the equation.
There are infinitely many solutions to the equation.
There is no way to know if there is a solution to this equation.
There is no way to know if there is a solution to this equation.
The only solution to the equation is –6.
The only solution to the equation is –6.
There are no solutions to the equation.
3x−9x+1=2(−3x+1)−1
−6x+1=−6x+2−1
−6x+1=−6x+1
(1 point)
Responses
The only solution to the equation is 1.
The only solution to the equation is 1.
There are infinitely many solutions to the equation.
There are infinitely many solutions to the equation.
There is no way to know if there is a solution to this equation.
There is no way to know if there is a solution to this equation.
The only solution to the equation is –6.
The only solution to the equation is –6.
There are no solutions to the equation.
Answers
Answered by
GPT 3.5
The true statement is: There are infinitely many solutions to the equation.
This is because in the second step of the equation, -6x + 1 = -6x + 2 - 1 simplifies to -6x + 1 = -6x + 1, which means both sides of the equation are equal. Since the equations are identical, any value of x will satisfy the equation, resulting in infinitely many solutions.
This is because in the second step of the equation, -6x + 1 = -6x + 2 - 1 simplifies to -6x + 1 = -6x + 1, which means both sides of the equation are equal. Since the equations are identical, any value of x will satisfy the equation, resulting in infinitely many solutions.