Question

Consider the equations 4(x-3)=16 and 4x-3=16 do they have the same solution? Why or why not ?

Answer 1

Answer: Both the equations when solved have different answers, the solutions for both the equation are given below. In the the first equation  4 (x-3)=16 , 4 is multiplied with both the terms in the bracket. Whereas, in the second equation 4x- 2 = 16  there is no variable to multiply with the LHS equation

Solution:

4 (x-3)=16

4x - 12 = 16

4x = 16 + 12

4x = 28

x = 7

4x - 3 = 16

4x = 16 + 3

4x = 19

x = 19/4

x = 4.75