Question

what is the solution​

Answer 1

Answer:

$y = 4 \frac{1}{2} \: or \: 4.5$

Step-by-step explanation:

$\frac{y}{2} - \frac{1}{2} = \frac{y}{3} + \frac{1}{4}$

LCM of 2, 2, 3 and 4 is 12

So, we need to multiply both sides of the equation by 12

$\frac{y}{2} \times 12 - \frac{1}{2} \times 12 = \frac{y}{3} \times 12 + \frac{1}{4} \times 12$

$\frac{y \times 12}{2} - \frac{1 \times 12}{2} = \frac{y \times 12}{3} + \frac{1 \times 12}{4}$

$\frac{12y}{2} - \frac{12}{2} = \frac{12y}{3} + \frac{12}{4}$

$6y - 6 = 4y + 3$

Now, combine the like terms

$6y - 4y = 3 + 6$

$2y = 9$

$y = \frac{9}{2}$

$y = 4 \frac{1}{2} \: or \: 4.5$

Therefore, the solution is 4 and 1/2 or 4.5