Which of the following should be done to both sides of the equation x/12=6 to solve the value of x ?(1 point)
Responses
divide by 12
divide by 12
multiply by 6
multiply by 6
multiply by −12
multiply by negative 12
multiply by 12
To solve for x in the equation x/12=6, you should multiply both sides of the equation by 12.
To solve for the value of x in the equation x/12 = 6, you should multiply both sides of the equation by 12.
To solve for the value of x in the equation x/12 = 6, you need to perform the same mathematical operation to both sides of the equation to maintain its equality. Here are the options given and the correct choice to solve for x:
1. Divide by 12: You can divide both sides of the equation by 12. This will isolate x on the left side of the equation, leaving you with x = 6/12. Simplifying further, x = 1/2. So, by dividing by 12, you can find the value of x.
2. Multiply by 6: If you multiply both sides of the equation by 6, it will give you 6 * (x/12) = 6 * 6. Simplifying this will give you x/2 = 36. However, this operation does not lead to the solution.
3. Multiply by -12: Multiplying both sides of the equation by -12 will result in -12 * (x/12) = -12 * 6. This simplifies to -x = -72. While this does allow you to solve for x, it requires additional steps to isolate x.
4. Multiply by 12: Similar to the previous option, multiplying both sides of the equation by 12 will give you 12 * (x/12) = 12 * 6. Simplifying this will give you x = 12 * 6. In this case, you can directly calculate x = 72.
Therefore, the correct choice to solve for x in the equation x/12 = 6 is to divide both sides by 12.