Which of the following should be done to both sides of the equation x/12=6 to solve rthe value of x
a multiply by 12
b multiply by 6
c multiply -12
d divide by 12
The correct answer is a) multiply by 12.
To solve for the value of x in the equation x/12 = 6, you can multiply both sides of the equation by 12, which will eliminate the fraction. This results in x = 6 * 12, or x = 72.
To solve for the value of x in the equation x/12 = 6, you should multiply both sides of the equation by 12. Therefore, the correct answer is option a: multiply 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 to keep it balanced. Let's go through each option and see which one satisfies this requirement:
a) Multiply by 12: This is the correct operation, since multiplying both sides by 12 will eliminate the fraction and allow you to isolate x. So, if you multiply both sides of the equation by 12, you get:
(x/12) * 12 = 6 * 12
x = 72
Therefore, option (a) is the correct choice.
b) Multiply by 6: This would not lead to the correct result since multiplying both sides by 6 would change the equation, giving you 6(x/12) = 6 * 6. This would not eliminate the fraction and solve for x.
c) Multiply by -12: Multiplying both sides by -12 would also change the equation, resulting in -12(x/12) = -12 * 6. Again, this would not allow you to isolate x.
d) Divide by 12: Dividing both sides by 12 would give you (x/12) / 12 = 6 / 12. This operation is not valid in this scenario, as it would not cancel out the fraction and solve for x.
In conclusion, the correct operation is to multiply both sides of the equation x/12 = 6 by 12, so option (a) is the correct choice.