Question 1 of 10
Which of the following operations could you perform on both sides of the given equation to solve it? Check all that apply.
9x+5=5x+21
A. subtract 5
B. divide by 3
C. divide by 9
D. divide by 4
E. subtract 5x
F. subtract 16
The operations that could be performed on both sides of the given equation to solve it are:
A. subtract 5
C. divide by 9
E. subtract 5x
To solve the equation 9x + 5 = 5x + 21, you can perform the following operations on both sides of the equation:
A. Subtract 5
E. Subtract 5x
F. Subtract 16
Therefore, the correct answers are A, E, and F.
To solve the equation 9x + 5 = 5x + 21, you need to isolate the variable "x" on one side of the equation. In order to do that, you can perform certain operations on both sides of the equation to maintain equality. Let's go through each option and see if they can be applied to solve the equation:
A. Subtract 5: Yes, you can subtract 5 from both sides of the equation.
B. Divide by 3: No, you cannot divide both sides of the equation by 3 because there are coefficients in front of the variable "x" that are different on both sides. So, dividing by 3 would not be applicable.
C. Divide by 9: Yes, you can divide both sides of the equation by 9 to simplify it.
D. Divide by 4: No, similar to option B, you cannot divide both sides of the equation by 4 due to the different coefficients of "x".
E. Subtract 5x: Yes, you can subtract 5x from both sides of the equation.
F. Subtract 16: No, there is no 16 term in the given equation, so subtracting 16 is not applicable.
Therefore, the correct operations that could be performed on both sides of the equation to solve it are A (subtract 5), C (divide by 9), and E (subtract 5x).