Question

solve the following equation and check your answer(2z-7)-3(3z+8)=4z-9

Answer 1

2Z - 7 - 3 ( 3Z + 8 ) = 4Z - 9

2Z - 7 - 9Z - 24 = 4Z - 9

-7Z - 31 = 4Z - 9

-7Z - 4Z = -9 + 31

-11Z.= 22

Z = -2



Verifying,

( 2Z - 7 ) - 3 ( 3Z + 8 ) = 4Z - 9


( 2 × (-2) - 7 ) - 3 ( 3 × (-2) + 8 ) = 4 × -2 - 9



( -4 - 7 ) - 3 ( -6 + 8 ) = -8 - 9


-11 - 3 × 2 = -17



-11 - 6 = -17


-17 = -17

Hence,


LHS = RHS = -17

Answer 2

Given : (2z - 7) - 3(3z + 8) = 4z - 9

⇒ 2z - 7 - 9z - 24 = 4z - 9

⇒ -7z - 31 = 4z - 9

⇒ -11z = 22

⇒ z = -2.

Verification:

⇒ (2z - 7) - 3(3z + 8) = 4z - 9

⇒ 2(-2) - 7 - 3(3(-2) + 8) = 4(-2) - 9

⇒ -4 - 7 + 18 - 24 = -8 - 9

⇒ -17 = -17.

Hope it helps!