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mamaluj [8]
2 years ago
5

Solve this

tle="4\left(5x-2\right)=2\left(9x+3\right)" alt="4\left(5x-2\right)=2\left(9x+3\right)" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Volgvan2 years ago
7 0

Answer:

  • 7

\:

Step-by-step explanation:

In the above question, we have to solve the equation and find the value of x. So,

\\ {\longrightarrow \pmb{\sf {\qquad   4(5x-2)=2(9x+3) }}} \\  \\

Using distributive property we get :

\\ {\longrightarrow \pmb{\sf {\qquad   20x-8=18x+6 }}} \\  \\

Adding (-18x) to both sides we get :

\\ {\longrightarrow \pmb{\sf {\qquad   20x-8 + ( - 18x)= \cancel{18x}+6 +  \cancel{( - 18x) }}}} \\  \\

{\longrightarrow \pmb{\sf {\qquad   2x-8=6 }}} \\  \\

Now Adding 8 to both sides we get :

\\  {\longrightarrow \pmb{\sf {\qquad   2x-8 + 8=6 + 8 }}} \\  \\

{\longrightarrow \pmb{\sf {\qquad   2x=14 }}} \\  \\

Dividing both sides by 2 we get :

\\ {\longrightarrow \pmb{\sf {\qquad    \frac{2x}{2}  = \frac{14}{2}  }}} \\  \\

{\longrightarrow \pmb{\frak {\qquad   x=7 }}} \\  \\

Therefore,

  • The value of x is 7

vampirchik [111]2 years ago
4 0

Answer:

  • Solution of equation ( x ) = <u>7</u>

Step-by-step explanation:

In this question we have given with an equation that is <u>4</u><u> </u><u>(</u><u> </u><u>5</u><u>x</u><u> </u><u>-</u><u> </u><u>2</u><u> </u><u>)</u><u> </u><u>=</u><u> </u><u>2</u><u> </u><u>(</u><u> </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>3 </u><u>)</u><u>.</u> And we are asked to solve this equation that means we have to find the value of <u>x</u><u>.</u><u> </u>

<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>

<u>\quad \longrightarrow \: 4 ( 5x - 2 ) = 2 ( 9x + 3 )</u>

<u>Step </u><u>1</u><u> </u><u>:</u> Removing parenthesis :

\quad \longrightarrow \:20x - 8 = 18x + 6

<u>Step </u><u>2</u><u> </u><u>:</u> Adding 8 from both sides :

\quad \longrightarrow \:20x - \cancel{ 8 }+  \cancel{8} = 18x + 6 + 8

On further calculations we get :

\quad \longrightarrow \:20x = 18x + 14

<u>Step </u><u>3 </u><u>:</u> Subtracting 18 from both sides :

\quad \longrightarrow \:20x - 18x =  \cancel{18x }+ 14 -  \cancel{18}

On further calculations we get :

\quad \longrightarrow \:2x = 14

<u>Step </u><u>4</u><u> </u><u>:</u> Dividing with 2 on both sides :

\quad \longrightarrow \: \frac{ \cancel{ 2}x}{ \cancel{2}}  =   \cancel{\frac{14}{2} }

On further calculations we get :

\quad \longrightarrow \:  \blue{\boxed{ \frak{x = 7}}}

  • <u>Therefore</u><u>,</u><u> </u><u>solution</u><u> </u><u>of </u><u>this </u><u>equation</u><u> </u><u>is </u><u>7</u><u> </u><u>or </u><u>we </u><u>can </u><u>say </u><u>that </u><u>value </u><u>of </u><u>this </u><u>equation</u><u> </u><u>is </u><u>7</u><u> </u><u>.</u>

<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>

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

  • 4 ( 5x - 2 ) = 2 ( 9x + 3 )

  • 4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]

  • 4 ( 35 - 2 ) = 2 ( 63 + 3 )

  • 4 ( 33 ) = 2 ( 66 )

  • 132 = 132

  • L.H.S = R.H.S

  • Hence, Verified.

<u>Therefore</u><u>,</u><u> </u><u>our </u><u>value</u><u> for</u><u> x</u><u> is</u><u> </u><u>correct </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
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