Question

Solve the equation in the photo
B. 21.3
C.32
D.64

Answer 1

Answer: x = 64/3

So first you want to combine multiplied terms into a single fraction and multiply by 1:

1/2x + 1/4x = 16

1x/2 + 1/4x = 16

Multiply by one:

x/2 + 1/4x = 16

Then you want to the same as we did, this time with 1/4x. So first combine multiplied terms into a single fraction and multiply by 1:

x/2 + 1/4x = 16

x/2 + 1x/4 = 16

Multiply by one:

x/2 + x/4 = 16

Now you want to find a common denominator:

x/2 + x/4 = 16

2x/4 + x/4 = 16

Now you want to combine fractions with common denominator:

2x/4 + x/4 = 16

(2x + x)/4 = 16

Now you want to combine like terms:

(2x + x)/4 = 16

3x/4 = 16

Then multiply all terms by the same value to eliminate fraction denominators:

3x/4 = 16

4 * 3x/4 = 4 * 16

Now cancel multiplied terms that are in the denominator:

4 * 3x/4 = 4 * 16

3x = 4 * 16

Then multiply the numbers:

3x = 4 * 16

3x = 64

Now divide both sides by the same factor:

3x = 64

3x/3 = 64/3

Now cancel terms that are in both the numerator and denominator:

3x/3 = 64/3

x = 64/3

Final answer is x = 64/3

Answer 2

x = 21.3

Explanation:

In order to solve this equation, I'll isolate x.

First, I'll combine like terms:

`\sf{\cfrac{1}{2}x+\cfrac{1}{4}x=16}`

We'll find the least common denominator of 2 and 4, which is 4:

`\sf{\cfrac{1*2}{2*2} +\cfrac{1}{4} =16`

Simplify:

`\sf{\cfrac{2}{4} +\cfrac{1}{4}x=16}`

`\sf{\cfrac{3}{4}x=16}`

Multiply both sides by 4:

`\sf{3x=64}`

Lastly, divide both sides by 3:

`\sf{x=\cfrac{64}{3}}`

Convert to a decimal:

`\sf{x=21.\bar{3}}`

Therefore, our answer is B. 21.3.