Question

solve by the method of transposition and verify your answer by substituting in the equation.
2x/3-1/3 =x/2+3/2​

Answer 1

Answer:

x=11

Step-by-step explanation:

2x/3-1/3=x/2+3/2

-1/3-3/2=x/2-2x/3

-2-9/6=3x-4x/6

-11/6= -x/6

6x=66

x=66/6

x=11

Answer 2

x=11

Step-by-step explanation:

2x/3-1/3=x/2+3/2

lcm of denominators 2,2,3,3 =6

multiply each by 6 .

2x/3*6 -1/3*6=x/2*6+3/2*6

4x-2=3x+9

4x-3x=9+2

x=11

verification

put x=11

22/3-1/3=11/2+3/2

21/3=14/2

7=7

LHS = RHS