Question

solve the following equations and check your answer. 3(3y-3) = 5(2y+1)​

Answer 1

Answer:

y = 4.  The solution y = 4 verified.

Step-by-step explanation:

3(3y-3) = 3(2y+1)

=> 9y - 9 = 6y + 3

=> 9y - 6y = 3 + 9

=> 3y = 12

∴ y = 12/3 = 4

Left Hand Side = 3(3*4 - 3) = 3(12 - 3) = 3*9 = 27

Right Hand Side = 3(2*4 + 1) = 3(8 + 1) = 3*9 = 27

Left Hand Side = Right Hand Side.

∴ The solution y = 4 verified.

Answer 2

3(3y - 3) = 5(2y + 1)

9y - 9 = 10y + 5

- 9 = 10y + 5 - 9y

- 9 - 5 = 10y - 9y

- 14 = y

Check

3(3(-14) - 3) = 5(2(-14) + 1)

3(-42 - 3) = 5(-28 + 1)

3(-45) = 5(-27)

-135 = -135 Verify