Question

For some value of x, the expression 2x - 3 is equal to 11. Without solving for x, determine the value of the following expressions. Be sure to show all steps and manipulations to the original expression.

A. 2/3x + 1 = __

B. x + 7/2 = __

Answer 1

2x - 3 = 11
2x = 14
x = 7

Using this value, The answers would be the following:
A. 23/21 (assuming you are dividing 2 by 3x; if you multiplied 2/3 by x, the answer would then be 17/3) 

B. 21/2

Answer 2

2x-3 = 11
2x = 14
2(3/2)x = 14(3/2)
3x = 21
2/3x +1 = 2/21 +1 
2/3x +1 = 2/21 + 21/21 = 23/21

2x = 14
2x + 7 = 14 + 7
x + 7/2 = 21/2