Question

Which number should each side of the equation 34x=9 be multiplied by to produce the equivalent equation of x = 12?

A)−34

B)14

C)43

D)4

Answer 1

Answer:

C. 4/3

Step-by-step explanation:

The original equation is [3/4]x = 9

To solve for x, you have to multiply both sides by 4/3

[4/3] ×[3/4]x = 9×[4/3]

x = 36/3 = 12

Answer: C. 4/3

Answer 2

For this case, we have the following equation:

$\frac {3} {4} x = 9$

We must find a number that when multiplied on both sides of the equation, as a result:

$x = 12$

So, if we multiply $9 * \frac {4} {3} = 12$

Now, the left side must also be multiplied by $\frac {4} {3}$so as not to alter the equation:

$\frac {3} {4} x * \frac {4} {3} = x$

Finally we have$x = 12$

Thus, the number is $\frac {4} {3}$

Answer:

Option C