Question

Solve the following equations by transposition method and also check the result: x/3 - 2 = x/2 + 8​

Answer 1

Answer:

• x = -60

Explanation:

Given Equation,

$\rm \implies \: \dfrac{x}{3} - 2 = \dfrac{x}{2} + 8$

Solving for x :-

$\rm \implies \: \dfrac{x}{3} -\dfrac{x}{2} = 2 + 8$

$\rm \implies \: \dfrac{2x -3x}{6} = 2 + 8$

$\rm \implies \: \dfrac{ -x}{6} = 10$

$\rm \implies \: -x = 10 \ast 6$

$\rm \implies \: -x = 60$

$\rm \therefore \: x = - 60$

Verification,

$\rm \implies \: \dfrac{x}{3} - 2 = \dfrac{x}{2} + 8$

Substituting x

$\rm \implies \: \dfrac{ - 60}{3} - 2 = \dfrac{ - 60}{2} + 8$

$\rm \implies \: - 20 - 2 = - 30 + 8$

$\rm \implies \: - 22 = - 22$

Hence, verified!

Answer 2

Answer:

The answer is this question is-60