Math, asked by jayashreeghiremath19, 1 month ago

16x-24=8x+16 slove the equation ​

Answers

Answered by llTheUnkownStarll
5

Given:

  • Solve the linear equation: \sf{16x-24=8x+1}

To find:

  • Value of x

Solution:

:  \implies \sf{16x - 24 = 8x + 1}

:  \implies \sf{16x - 8x  = 24+ 1}

:  \implies \sf{8x  = 25}

:  \implies \underline  {\boxed{\frak{x  =  \frac{25}{8} }}}  \pink\bigstar

  • Hence, the value of x is \boxed{\boxed{\bf{\frac{25}{8}}}}

Verification:

  • Put the value of x in the linear equation.

:  \implies \sf{16x - 24 = 8x + 1}

:  \implies \sf{16( \frac{25}{8} ) - 24 = 8 (\frac{25}{8})  + 1}

:  \implies \sf{16 \times \frac{25}{8}  - 24 = 8  \times \frac{25}{8} + 1}

:  \implies \sf{16 \times  \cancel\frac{25}{8}  - 24 = 8  \times  \cancel\frac{25}{8} + 1}

:  \implies \sf{2 \times  25 - 24 = 1 \times 25 + 1}

:  \implies \sf{50 - 24 = 25 + 1}

:  \implies  \underline {\boxed{ \frak{26 = 26}}}  \blue\bigstar

  • Hence, verified.

тнαηк үσυ

@itzshivani

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