solve the following simultaneous equations for 2x-Y = -1 ; 3x-Y = 7​

1 thought on “solve the following simultaneous equations for 2x-Y = -1 ; 3x-Y = 7​”

1. [tex]\textbf{Given:}[/tex]

   [tex]\mathsf{2x-y=-1}[/tex]

   [tex]\mathsf{3x-y=7}[/tex]

   [tex]\textbf{To find:}[/tex]

   [tex]\textsf{Solution of the given simultaneous equations}[/tex]

   [tex]\textbf{Solution:}[/tex]

   [tex]\textsf{Consider,}[/tex]

   [tex]\mathsf{2x-y=-1}[/tex]—-(1)

   [tex]\mathsf{3x-y=7}[/tex]—–(2)

   [tex]\mathsf{(1)-(2)\implies}[/tex]

   [tex]\mathsf{-x=-8}[/tex]

   [tex]\implies\boxed{\mathsf{x=8}}[/tex]

   [tex]\mathsf{Put\;x=8\;in\;(1)}[/tex]

   [tex]\mathsf{2(8)-y=-1}[/tex]

   [tex]\mathsf{16-y=-1}[/tex]

   [tex]\mathsf{y=1+16}[/tex]

   [tex]\implies\boxed{\mathsf{y=17}}[/tex]

   [tex]\therefore\textbf{Solution is x=8 and y=17}[/tex]

   [tex]\textbf{Find more:}[/tex]

   4x – 3y = 16; 6x + 5y = 62.​

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