Question

solve and check the equation 2y+5/4 =26/3-y​

Answer 1

Answer:

Step-by-step explanation:

$2y + \frac{5}{4} =\frac{26}{3} - y\\\\\frac{8y + 5}{4} =\frac{26 - 3y}{3}$

3(8y + 5 ) = 4(26 -3y)

24y + 15 = 104 - 12y

24y + 12y = 104 - 15

36y = 89

$y = \frac{89}{36}$

Verifying the equation

LHS

$2(\frac{89}{36} ) + \frac{5}{4}$

$\frac{89}{18} + \frac{5}{4}$

$\frac{178 + 45}{36}$

$\frac{223}{36}$

RHS

$\frac{26}{3} - \frac{89}{36}$

$\frac{312 - 89}{36}$

$\frac{223}{36}$

Hence LHS = RHS