Question 6 (1 point)
Look at the steps for solving the equation and choose a true statement.
10 + 6x = 15 + 9x - 3x
10 + 6x = 15 + 6x
10 = 15
a
The only solution to the equation is 10.
b
There are infinitely many solutions to the equation.
c
There is no way to know if there is a solution to this equation.
d
The only solution to the equation is 1.
e
There are no solutions to the equation.
b. There are infinitely many solutions to the equation.
To solve the equation 10 + 6x = 15 + 9x - 3x, we can simplify both sides by combining like terms:
10 + 6x = 15 + 6x
From this, we can see that both sides of the equation are the same. This means that the equation is true for all values of x. Therefore, there are infinitely many solutions to the equation.
The correct answer is:
b) There are infinitely many solutions to the equation.