Question

What makes this equation true?

Answer 1

`B.\cfrac{1}{2}`

Given equation

• 
  `\cfrac{12y-1}{2} =\cfrac{9y+8}{5}`

Solve it for y

1. Cross - multiply:

• 
  `5(12y-1)=2(9y+8)`

2. Open parenthesis:

• 
  `60y-5=18y+16`

3. Collect like terms:

• 
  `60y-18y=16+5`

4. Simplify:

• 
  `42y=21`

5. Divide both sides by 42:

• 
  `y=21/42=1/2`

Matching answer choice is B