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2 years ago

What is the solution to the equation 2(×+2. 4)=6. 4

Mathematics

2 answers:

Trava [24]2 years ago

7 0

Answer:

0.8

Step-by-step explanation:

2x + 4.8 = 6.4

2x = 6.4 - 4.8

2x = 1.6

x = 0.8

Leno4ka [110]2 years ago

7 0

Answer:

x = 0.8

Step-by-step explanation:

In the question we're given with an equation that is 2 ( x + 2.4 ) = 6.4 . And we're asked to find the solution of the equation that means we have to find the value of x .

Solution : -

$\longmapsto \: 2(x + 2.4) = 6.4$

Step 1 : Removing parenthesis by multiplying 2 with x and 2.4 :

$\longmapsto \: 2x + 4.8 = 6.4$

Step 2 : Subtracting 4.8 on both sides :

$\longmapsto \: 2x + \cancel{4.8} - \cancel{4.8 }= 6.4 - 4.8$

On further calculations :

$\longmapsto \:2x = 1.6$

Step 3 : Dividing by 2 on both sides :

$\longmapsto \: \frac{ \cancel{2}x}{ \cancel{2 }} = \frac{1.6}{2}$

Calculating further :

Here , we have removed decimal from 1.6 . So it'll become 16 and 10 it'll divided by 10

$\longmapsto \:x = \cancel { \frac{16}{2}} \times \frac{1}{10}$

Step 4 : Cancelling 16 by 2 :

$\longmapsto \:x = \frac{8}{10}$

$\longmapsto \: \green{\underline{ \green {\boxed{x = 0.8}}}}$

Therefore value of x is 0.8 .

Verifying : -

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

2 ( x + 2.4 ) = 6.4

2 ( 0.8 + 2.4 ) = 6.4

2 ( 3.2 ) = 6.4

6.4 = 6.4

L.H.S = R.H.S

Hence, Verified .

Therefore, our value for x is correct .

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