Respuesta :

Answer:

y = -7 + [tex]\frac{3p}{2}[/tex]

Step-by-step explanation:

13p - 2y = 14 + 10p

-2y = 14 - 3p

y = (14 ÷ -2)  + (-3p ÷ -2)

y = -7 + [tex]\frac{3p}{2}[/tex]

The solution of equation 3p - 2y = 14 + 10p is, y = -7 + 1.5p

What is the solution of an equation?

"It is a value or set of values which makes equation true after substitution."

What is equation?

"It is an expression which contains an equal symbol."

Given equation: 13p - 2y = 14 + 10p

⇒ 13p - 10p -2y = 14                     ..................(Subtract 10p from each side)

⇒ 3p - 2y = 14

⇒ 3p - 2y - 3p = 14 - 3p               .................(Subtract 3p from each side)

⇒ -2y = 14 - 3p

⇒ -2y/(-2) = (14 - 3p)/(-2)                ...............(Divide each side by -2)

⇒ y = -7 + (3/2)p

⇒ y = -7 + 1.5p

Therefore, the solution of the equation is y = -7 + 1.5p

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