Question

What is the value of x in the proportion below? 8/72 = x/36

Answer 1

Answer:

x = 4

Step-by-step explanation:

8/72 = x/36

crossmultiply

8 x 36 = X x 72

288 = 72x

divide both sides by 72

288/72 = x

therefore , x = 4

Answer 2

Answer: x = 4

Step-by-step explanation:

Simplify x/36

Next, 8/72 - x/36 = 0

Simplify 1/9

Next, 1/9 - x/36 = 0

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4 - (x)     4 - x

——————  =  —————

36         36  

Equation at the end of step  3  :

 4 - x

 —————  = 0

  36  

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, multiply both sides of the equation by the denominator.

Here's how:

 4-x

——— • 36 = 0 • 36

 36

Now, on the left hand side, the  36  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  4-x  = 0

Solving a Single Variable Equation :

4.2      Solve  :    -x+4 = 0

Subtract  4  from both sides of the equation :

                     -x = -4

Multiply both sides of the equation by (-1) :  x = 4

One solution was found :

                  x = 4