Rozwiąż układ równań dla 2x+5y=29 i 2y-3x=4

Rozwiązanie zadanego układu równań metodą podstawiania:

$\begin{cases}2x+5y=29 \\ 2y-3x=4 \end{cases}$

$5y+2x=292y-3x=4 $
$ $
$ $
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$ctx.strokeStyle="#202020";ctx.strokeStyle="#b22222";ctx.strokeText("y",7,24);ctx.font="12pxArial"; $
$ctx.moveTo(27,24);ctx.lineTo(291,24);ctx.stroke(); $
$ctx.strokeStyle="#202020";ctx.strokeText("9",7,48);ctx.moveTo(27,48);ctx.lineTo(291,48);ctx.stroke(); $
$ctx.strokeText("8",7,72);ctx.moveTo(27,72);ctx.lineTo(291,72);ctx.stroke(); $
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$ctx.strokeText("4",7,168);ctx.moveTo(27,168);ctx.lineTo(291,168);ctx.stroke(); $
$ctx.strokeText("3",7,192);ctx.moveTo(27,192);ctx.lineTo(291,192);ctx.stroke(); $
$ctx.strokeText("2",7,216);ctx.moveTo(27,216);ctx.lineTo(291,216);ctx.stroke(); $
$ctx.strokeText("1",7,240);ctx.moveTo(27,240);ctx.lineTo(291,240);ctx.stroke(); $
$ctx.strokeStyle="#202020";ctx.strokeText("0",7,264);ctx.moveTo(27,264);ctx.lineTo(291,264);ctx.stroke(); $
$ctx.strokeStyle="#202020";ctx.strokeText("-1",7,288);ctx.moveTo(27,288);ctx.lineTo(291,288);ctx.stroke(); $
$ctx.strokeStyle="#202020";ctx.strokeText("-4",19,310);ctx.moveTo(27,0);ctx.lineTo(27,290);ctx.strokeStyle='#eee9e9';ctx.stroke(); $
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$ctx.strokeStyle="#202020";ctx.strokeText("-1",91,310);ctx.moveTo(99,0);ctx.lineTo(99,290);ctx.strokeStyle='#eee9e9';ctx.stroke(); $
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$ctx.strokeStyle="#202020";ctx.strokeText("4",211,310);ctx.moveTo(219,0);ctx.lineTo(219,290);ctx.strokeStyle='#eee9e9';ctx.stroke(); $
$ctx.strokeStyle="#202020";ctx.strokeText("5",235,310);ctx.moveTo(243,0);ctx.lineTo(243,290);ctx.strokeStyle='#eee9e9';ctx.stroke(); $
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$ctx.strokeText("x",259,310);ctx.font="11pxArial"; $
$ctx.moveTo(267,0);ctx.lineTo(267,290);ctx.strokeStyle='#eee9e9';ctx.stroke(); $
$ctx.beginPath();ctx.moveTo(289,192);ctx.lineTo(27,86);ctx.lineWidth=3;ctx.strokeStyle="#ff3399";ctx.stroke(); $
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i: Ostateczne rozwiązanie to:

2y = 3x + 4

y = 3x/2 + 2
  2x + 5•(3x/2+2) = 29
  19x/2 = 19
  19x = 38
  19x = 38 

  x = 2 
  x = 2
  y = 3x/2+2  y = (3/2)(2)+2 = 5 
 {x,y} = {2,5} 



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