Question

Um, what's the value of e,

`9e+4=-5e+14+13e`

Answer 1

• e = 10

Explanation:

In this question we are provided with an equation that is 9e + 4 = -5e + 14 + 13e . And we are asked to find the value of e .

Solution : -

`\longrightarrow \qquad \: 9e + 4 = {-5e} + 14 + { 13e}`

Step 1 : As there are like terms in right side . So we are solving them and get :

`\longrightarrow \qquad \: 9e + 4 = 14 + 8e`

Step 2 : Subtracting 4 on both sides :

`\longrightarrow \qquad \: 9e + \cancel{4 }- \cancel{4 }= 14 + 8e - 4`

Now , cancelling 4 with -4 and subtracting 4 from 14 :

`\longrightarrow \qquad \: 9e = 10 + 8e`

Step 3 : Subtracting 8e on both sides :

`\longrightarrow \qquad \: {9e } - {8e } =10 + \cancel{ 8e} - \cancel{ 8e}`

On further calculating , we get :

`\longrightarrow \qquad \: \underline{\boxed{\bold{ \frak{{e = 10}}}}}`

• Therefore , value of e is equal to 10.

Verifying : -

We are verifying our answer by substituting value of e in given equation. So ,

• 9e + 4 = -5e + 14 + 13e

• 9 (10) + 4 = -5 (10) + 14 + 13 (10)

• 90 + 4 = -50 + 14 + 130

• 94 = -50 + 144

• 94 = 94

• L.H.S = R.H.S

• Hence, Verified.

Therefore, our value for e is correct .

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