Question

Solve the equation and verify the solution obtained
(6x+1/2)-1=6x-1/3

Answer 1

Answer:

Step-by-step explanation:

Hey !!

X - 2 / 6X + 1 = 1

X - 2 = 6X + 1

6X - X = -2 - 1

5X = -3

X = -3/5.

Verification :-

X - 2 / 6X + 1 = 1

-3/5 - 2 / 6 × -3/5 + 1 = 1

-3 - 10 / 5 / - 18 /5 + 1 = 1

-13 /5 / -18 + 5/ 5 = 1

-13/5 / -13 / 5 = 1

-13/5 × 5 / -13 = 1

1 = 1

LHS = RHS.

Hence,

X = -3/5

Answer 2

• We have to evaluate the above expression by using the given data.

              Given data:- $(6x+\frac{1}{2})-1=6x-\frac{1}{3} .$

              To find:- Value of the expression.

              Solution:-

• Here we will use the transposition method.

• Transposition is one of the linear equations.

• To solve the transposition method we wi.ll Identify the variables and constants.

• Then we Simplify the equation in LHS and RHS.

• Now Simplify the equation using arithmetic operations.

        By using the transposition method.

        we get,

                  $\left(\frac{6 x+1}{2}\right)-1=\frac{6 x-1}{3}\\=>6 x+\frac{1}{2}-1=6 x+\frac{-1}{3}\\=>6 x-\frac{1}{2}=6 x+\frac{-1}{3}\\=>6 x=6 x+\frac{1}{6}\\=>0=6 x+\frac{1}{6}-6 x\\=>0=\frac{1}{6}.$

       Hence we will get the value $0=\frac{1}{6} .$