Which of the following should be done to both sides of the equation x/12 = 6 to solve the value of x ?(1 point)
multiply by 12
multiply by 6
divide by 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 the value of x in the equation x/12 = 6, you should multiply both sides of the equation by 12.
To solve the equation x/12 = 6 and find the value of x, we need to perform the same operation on both sides of the equation in order to maintain equality. Let's go through the options provided:
1. Multiply by 12: This is the correct choice. By multiplying both sides of the equation by 12, we eliminate the denominator of 12 on the left side and obtain x = 6 * 12, which simplifies to x = 72.
2. Multiply by 6: This option is incorrect since multiplying both sides by 6 would not eliminate the denominator and would result in 6(x/12) = 6 * 6, which simplifies to x/2 = 36.
3. Divide by 12: Dividing both sides of the equation by 12 would not solve the equation and find the value of x. It would result in (x/12) / 12 = 6 / 12, which simplifies to x/144 = 1/2.
4. Multiply by -12: Multiplying both sides of the equation by -12 would also solve the equation, but the result would give the value of x as a negative number. The equation would become -12(x/12) = -12 * 6, which simplifies to -x = -72. Multiplying by -1 on both sides would give us x = 72.
Therefore, the correct choice is to multiply both sides of the equation x/12 = 6 by 12.