Question

x/2+x/4=x/6+7/6 equation​

Answer 1

Answer:

x/2 + x/4 = x/6 + 7/6

x/2 + x/4 = x+ 7/6

x/2 × 2/2 + x/4 ×1/1 = x+ 7/6

2x/4 + x/4 = x+7/6

2x+ x/4 = x+ 7/6

3x /4 = x+ 7/6

3x( 6) = 4(x+ 7)

18x = 4x + 28

18x - 4x = 28

14x = 28

x= 28/14

x= 2

# Be brainly

Answer 2

Given equation:

↦x/2+x/4=x/6+7/6

Solution:

$\rm\mapsto\dfrac{x}{2}+\dfrac{x}{4}$=$\dfrac{x}{6}+\dfrac{7}{6}$

$\rm\mapsto\dfrac{2x+x}{4}$=$\dfrac{x+7}{6}$

$\rm\mapsto\dfrac{3x}{4}$=$\dfrac{x+4}{6}$

$\rm\mapsto{3x×6=4×(x+7)}$

$\rm\mapsto{18x=4x+28}$

$\rm\mapsto{18x-4x=28}$

$\rm\mapsto{14x=28}$

$\rm\mapsto{x}=\frac{28}{14}$

$\rm\mapsto{x=2}$

$\rm\underline\green{Verification:-}$

Equation:

x/2+x/4=x/6+7/6

Putting the value of x

$\rm\mapsto\dfrac{2}{2}+\dfrac{2}{4}$=$\rm\dfrac{2}{6}+\dfrac{7}{6}$

$\rm\mapsto{1}+\dfrac{1}{2}=\dfrac{1}{3}+\dfrac{7}{6}$

$\rm\mapsto\dfrac{2+1}{2}=\dfrac{2+7}{6}$

$\rm\mapsto\dfrac{3}{2}=\dfrac{9}{6}$

$\rm\mapsto{3×6=9×2}$(By cross multiplication)

$\rm\blue\mapsto\blue{18=18}$

Hence,L.H.S.=R.H.S.

Therefore, Verified.