Question

Simplify and solve the following linear equations. 15(y-4)+5(y+6)=2(y-9)​

Answer 1

Answer:

15y−60−2y+18+5y+30=0

⇒18y−12=0

⇒y=  

18

12

​  

 

⇒y=  

3

2

​  

 

Step-by-step explanation:

Answer 2

Simplifying the equation : 18y - 12 = 0

The value of y = 2/3

Given :

The equation

$\sf 15(y - 4) + 5(y + 6) = 2(y - 9)$

To find :

• Simplify the equation

• Solve the equation

Solution :

Step 1 of 3 :

Write down the given equation

The given equation is

$\sf 15(y - 4) + 5(y + 6) = 2(y - 9)$

Step 2 of 3 :

Simplify the given equation

$\sf 15(y - 4) + 5(y + 6) = 2(y - 9)$

$\sf \implies \: 15y - 60 + 5y + 30 = 2y - 18$

$\sf \implies \: 20y - 30 = 2y - 18$

$\sf \implies \: 20y - 30 - 2y + 18 = 0$

$\sf \implies \: 18y - 12 = 0$

Step 3 of 3 :

Solve the equation

$\sf \: 18y - 12 = 0$

$\sf \implies \: 18y = 12$

$\sf \implies \: y = \dfrac{12}{18}$

$\sf \implies \: y = \dfrac{2}{ 3}$

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