Math, asked by h14085, 1 month ago

solve the following linear equation 5y-1=3y+4 and
7(x+4)=2x-7
the best answer is brainliest​​

Answers

Answered by kailashmannem
228

 \Large{\bf{\green{\mathfrak{\dag{\underline{\underline{Given:-}}}}}}}

  • 5y - 1 = 3y + 4 and 7 (x + 4) = 2x - 7

 \Large{\bf{\orange{\mathfrak{\dag{\underline{\underline{To \: Find:-}}}}}}}

  • Values of x and y.

\Large{\bf{\red{\mathfrak{\dag{\underline{\underline{Solution:-}}}}}}}

First,

  • 5y - 1 = 3y + 4

  • 5y - 3y - 1 = 4

  • 2y - 1 = 4

  • 2y = 4 + 1

  • 2y = 5

  • y =  \sf \dfrac{5}{2}

Second,

  • 7 (x + 4) = 2x - 7

  • 7x + 28 = 2x - 7

  • 7x - 2x + 28 = - 7

  • 5x + 28 = - 7

  • 5x = - 28 - 7

  • 5x = - 35

  • x =  \sf \dfrac{- \: 35}{5}

  • x = - 7

Therefore,

  •  \boxed{\purple{\textsf{Value of x = - 7.}}}

  •  \boxed{\blue{\sf{Value\: of\: y \:=\: \dfrac{5}{2}}}}

\Large{\bf{\pink{\mathfrak{\dag{\underline{\underline{Logic:-}}}}}}}

  • Here, we have to just transpose all the variables to one side and the numericals to another side and solve it.

  • If the variable is enclosed within the brackets, then you have to multiple it with the number/variable out the brackets and solve for the variable.
Answered by remanairport
83

Answer:

x=-7 & y=5/2

Step-by-step explanation:

Please refer to the attatched image.

Attachments:
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