Which of the following should be done to both sides of the equation −6x=48 to solve the value of x ?(1 point) Responses multiply by −6 multiply by negative 6 divide by −6 divide by negative 6 divide by 6 divide by 6 add 6
To solve for the value of x in the equation −6x=48, you should divide both sides by -6.
To solve the equation −6x = 48 for the value of x, you need to perform the same operation on both sides of the equation. In this case, you should divide both sides by -6. So, the correct response is: divide by -6.
To solve the equation −6x=48 and find the value of x, you need to perform the same mathematical operation on both sides of the equation in order to isolate x.
In this case, the equation is multiplied by -6. However, instead of simply providing the correct option, let's go through each option and explain which one is the appropriate step to be taken.
Option 1: Multiply by −6
If you multiply both sides of the equation by -6, you will get 6x = -288. This does not solve the equation to find the value of x.
Option 2: Multiply by negative 6
This is the same as option 1, so it does not solve the equation.
Option 3: Divide by −6
If you divide both sides of the equation by -6, you will get x = -8. This is the correct step to solve the equation and find the value of x.
Option 4: Divide by negative 6
This is the same as option 3, so it does solve the equation.
Option 5: Divide by 6
If you divide both sides of the equation by 6, you will get -x = 8. This does not give you the value of x.
Option 6: Divide by 6
This is the same as option 5, so it does not solve the equation.
Option 7: Add 6
If you add 6 to both sides of the equation, you will get 6x + 6 = 48 + 6, which simplifies to 6x + 6 = 54. This does not solve the equation.
Therefore, the correct option to solve the equation −6x = 48 and find the value of x is to divide both sides of the equation by −6, which gives you x = -8.