Question

5y + 7/2 = (3/2)y - 14


a. 5

b. -5

c. 4


please tell fast (w explanation)

Answer 1

Answer:

b. -5

Step-by-step explanation:

$5y + \frac{7}{2} = (\frac{3}{2})y - 14 \\\\5y - (\frac{3}{2})y + \frac{7}{2} = -14 \\\\\frac{5y}{1} - \frac{3y}{2} = -14 - \frac{7}{2}\\\\\frac{10y}{2} - \frac{3y}{2} = -14 - \frac{7}{2}\\\\\frac{7y}{2} = \frac{-14}{1} - \frac{7}{2}\\\\\frac{7y}{2} = \frac{-28}{2} - \frac{7}{2}\\\\\frac{7y}{2}=\frac{-35}{2} \\\\\frac{7}{2} y = \frac{-35}{2} \\\\y = \frac{-35}{2} *\frac{2}{7}\\\\y = \frac{-60}{14}\\\\y = -5$

∴ option b is correct