Question

What value of x is the solution to the equation 3/4x+12=24

a. 9
b. 16
c. 27
d. 48

Answer 1

Answer: x = 16

Step-by-step explanation: First isolate the x term by subtracting 12 from both sides of the equation and we get 3/4x = 24.

Now, notice that x is being multiplied by a fraction. In this situation, in order to get x by itself, we must multiply both sides of the equation by the reciprocal of that fraction. The reciprocal of a fraction is just that fraction flipped so the reciprocal of 3/4 is just 4/3.

So here, in order to get x by itself, we multiply both sides of the equation by 4/3. On the left, our 4's cancel and our 3's cancel and we are left with x. On the right, our 12 and 3 reduce to 1 and 4 so we have (4)(4) which is 16.

So x = 16.

Answer 2

~Subtract 12 from both sides

3/4x + 12 − 12 = 24 − 12

~Simplify

3/4x = 12

~Multiply both sides by 4/3

3/4 * 4/3 = 12 * 4/3

~Simplify

x = 16

Hence, the correct answer is [ b. 16 ]

Best of Luck!