Respuesta :

Answer:

    [tex]B.\cfrac{1}{2}[/tex]

Given equation

  • [tex]\cfrac{12y-1}{2} =\cfrac{9y+8}{5}[/tex]

Solve it for y

1. Cross - multiply:

  • [tex]5(12y-1)=2(9y+8)[/tex]

2. Open parenthesis:

  • [tex]60y-5=18y+16[/tex]

3. Collect like terms:

  • [tex]60y-18y=16+5[/tex]

4. Simplify:

  • [tex]42y=21[/tex]

5. Divide both sides by 42:

  • [tex]y=21/42=1/2[/tex]

Matching answer choice is B