Question

Solve for x ~

`46x - 23x = 2`


thankyou ~​

Answer 1

• x = 2/23

Explanation:

Inthis question we are given with one equation that is 46x - 23x = 2 and we have asked to find the value of x or solve for x .

So , from here we are solving :

`\longmapsto \: 46x - 23x = 2`

Step 1 : Taking 23x common at left hand side :

`\longmapsto \: 23x(2 - 1) = 2`

Step 2 : Subtracting 1 with 2 :

`\longmapsto \:23x = 2`

Step 3 : Transposing 23 to right hand side :

`\longmapsto \: \red{ \boxed{x = (2)/(23) }}`

• Therefore, value of x is 2/23

Verifying the answer :

We are verifying our answer by substituting the value of x in the given equation .

`\longmapsto \: 46((2)/(23)) - 23( (2)/(23) ) = 2`

Now , calculating :

`\longmapsto \: \cancel{46}(\frac{2}{ \cancel{23}}) - \cancel{23}( \frac{2}{ \cancel{23}} ) = 2`

`\longmapsto \: 4 - 2 = 2`

`\longmapsto \: 2 = 2`

`\longmapsto \: L.H.S = R.H.S`

`\longmapsto \: Hence, \: Verified . \:`

• Therefore , our value for x is correct .

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Answer 2

Answer: x = 2/23

Explanation:

`46x-23x=2`

`\mathrm{Add\:like\:terms:}\:46x-23x=23x`

`23x=2`

`\mathrm{Divide\:both\:sides\:by\:}23`

`(23x)/(23)=(2)/(23)`

`$$Simplify`

`\bold{x=(2)/(23)}`