Question Which of the following should be done to both sides of the equation x + 11 = -17 to solve the value of x? (1 point) Responses add 17 add 17 subtract 11 subtract 11 add 11 add 11 subtract 17 subtract 17
To solve for the value of x, you should subtract 11 from both sides of the equation. So the correct answer is "subtract 11."
To solve the value of x in the equation x + 11 = -17, you need to perform the same operation on both sides of the equation in order to maintain equality. Let's go through each option and see which operation should be done:
add 17: Adding 17 to both sides of the equation would yield x + 11 + 17 = -17 + 17, which simplifies to x + 28 = 0. This does not solve the equation.
subtract 17: Subtracting 17 from both sides of the equation, you would have x + 11 - 17 = -17 - 17, which simplifies to x - 6 = -34. This also does not solve the equation.
subtract 11: Subtracting 11 from both sides of the equation, you would obtain x + 11 - 11 = -17 - 11, which simplifies to x = -28. This solves the equation, so subtracting 11 from both sides is the correct operation.
add 11: Adding 11 to both sides of the equation would give you x + 11 + 11 = -17 + 11, which simplifies to x + 22 = -6. This does not solve the equation.
Therefore, the correct operation to perform on both sides of the equation x + 11 = -17 is to subtract 11.