What is the slope of the line and NO LINKS

cricket20 [7]

Hey ! there

Answer:

Value of 2x - 2 is 6 .

Step-by-step explanation:

In this question we are provided with an equation that is 5 ( 3x - 1 ) = 55 and we are asked to find the value of 2x - 2 .

Firstly , we need to find the value of x . So we need to solve the equation .

SOLUTION : -

$\quad \longmapsto \qquad \: 5(3x - 1) = 55$

Step 1 : Dividing with 5 on both sides :

$\quad \longmapsto \qquad \: \dfrac{ \cancel{5}(3x - 1)}{ \cancel{5}} = \cancel{\dfrac{55}{5} }$

On cancelling , We get :

$\quad \longmapsto \qquad \:3x - 1 = 11$

Step 2 : Adding 1 on both sides :

$\quad \longmapsto \qquad \:3x - \cancel{1} + \cancel{1} = 11 + 1$

On simplifying , We get :

$\quad \longmapsto \qquad \:3x = 12$

Step 3 : Dividing with 3 on both sides :

$\quad \longmapsto \qquad \: \dfrac{ \cancel{3}x}{ \cancel{3}} = \cancel{ \dfrac{12}{3} }$

We get ,

$\quad \longmapsto \qquad \: \underline{\boxed{\frak{x = 4}}}$

→ Therefore , value of x is 4 .

Verifying : -

Now we are verifying whether our answer is wrong or right . So ,

5 ( 3x - 1 ) = 55

5 { 3( 4 ) - 1 } = 55

5 ( 12 - 1 ) = 55

5 ( 11 ) = 55

L.H.S = R.H.S

Hence , Verified .

Therefore , our value of x is correct/valid .

We need to find the value of 2x - 2 . 

 $\quad \longmapsto \qquad \:2x - 2$ 

So substituting value of x in it :

 $\quad \longmapsto \qquad \:2( \bold{4}) - 2$ 

Multiplying 2 with 4 : 

 $\quad \longmapsto \qquad \:8 - 2$ 

Subtracting 2 from 8 :

$\quad \longmapsto \qquad \: \blue{\underline{\boxed{\frak{6}}}} \quad \: \bigstar$

Henceforth, value of 2x - 2 is ❝ 6 ❞.

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