wwe2k19 wwe2k19
  • 26-01-2019
  • Mathematics
contestada

Solve for y. 4y+5/3 = y-8/2 y = -4 y = -5 y = -8

Respuesta :

gmany
gmany gmany
  • 29-01-2019

Answer:

y = -34/5

Step-by-step explanation:

[tex]\dfrac{4y+5}{3}=\dfrac{y-8}{2}\qquad\text{multiply both sides by }\ 2\cdot3=6\\\\6\!\!\!\!\diagup^2\cdot\dfrac{4y+5}{\not3_1}=6\!\!\!\!\diagup^3\cdot\dfrac{y-8}{\not2_1}\\\\2(4y+5)=3(y-8)\qquad\text{use distributive property}\\\\(2)(4y)+(2)(5)=(3)(y)+(3)(-8)\\\\8y+10=3y-24\qquad\text{subtract 10 from both sides}\\\\8y=3y-34\qquad\text{subtract 3y from both sides}\\\\5y=-34\qquad\text{divide both sides by 5}\\\\\boxed{y=-\dfrac{34}{5}}[/tex]

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