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
multiply by 6
multiply by 6
divide by 12
divide by 12
multiply by 12
multiply by 12
multiply by −12
multiply 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 operation on both sides of the equation. This maintains the equality of the equation. Let's go through the answer choices to see which operation should be done:
1. Multiply by 6: If you multiply both sides of the equation by 6, the equation becomes 6 * (x/12) = 6 * 6, which simplifies to x/2 = 36. This operation is incorrect because it doesn't help us isolate the variable x.
2. Divide by 12: If you divide both sides of the equation by 12, the equation becomes (x/12) / 12 = 6 / 12, which simplifies to x/144 = 6/12. This operation is incorrect because it doesn't help us isolate the variable x.
3. Multiply by 12: If you multiply both sides of the equation by 12, the equation becomes 12 * (x/12) = 6 * 12, which simplifies to x = 72. This operation is correct because it eliminates the denominator of 12 and allows us to find the value of x.
4. Multiply by -12: If you multiply both sides of the equation by -12, the equation becomes -12 * (x/12) = 6 * (-12), which simplifies to -x = -72. This operation is incorrect because it changes the sign of the variable x, resulting in an incorrect value.
Therefore, the correct operation to be done to both sides of the equation x/12=6 in order to solve for the value of x is to multiply both sides by 12.