Rozwiąż układ równań dla 9x+5y-8=0 i 3x+2y=5

Rozwiązanie zadanego układu równań metodą podstawiania:

$\begin{cases}9x+5y-8=0 \\ 3x+2y=5 \end{cases}$

$5y+9x=82y+3x=5 $
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$ctx.font="18pxArial"; $
$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("11",7,48);ctx.moveTo(27,48);ctx.lineTo(291,48);ctx.stroke(); $
$ctx.strokeText("10",7,72);ctx.moveTo(27,72);ctx.lineTo(291,72);ctx.stroke(); $
$ctx.strokeText("9",7,96);ctx.moveTo(27,96);ctx.lineTo(291,96);ctx.stroke(); $
$ctx.strokeText("8",7,120);ctx.moveTo(27,120);ctx.lineTo(291,120);ctx.stroke(); $
$ctx.strokeText("7",7,144);ctx.moveTo(27,144);ctx.lineTo(291,144);ctx.stroke(); $
$ctx.strokeText("6",7,168);ctx.moveTo(27,168);ctx.lineTo(291,168);ctx.stroke(); $
$ctx.strokeText("5",7,192);ctx.moveTo(27,192);ctx.lineTo(291,192);ctx.stroke(); $
$ctx.strokeText("4",7,216);ctx.moveTo(27,216);ctx.lineTo(291,216);ctx.stroke(); $
$ctx.strokeText("3",7,240);ctx.moveTo(27,240);ctx.lineTo(291,240);ctx.stroke(); $
$ctx.strokeText("2",7,264);ctx.moveTo(27,264);ctx.lineTo(291,264);ctx.stroke(); $
$ctx.strokeText("1",7,288);ctx.moveTo(27,288);ctx.lineTo(291,288);ctx.stroke(); $
$ctx.strokeStyle="#202020";ctx.strokeText("-9",19,310);ctx.moveTo(27,0);ctx.lineTo(27,290);ctx.strokeStyle='#eee9e9';ctx.stroke(); $
$ctx.strokeStyle="#202020";ctx.strokeText("-8",43,310);ctx.moveTo(51,0);ctx.lineTo(51,290);ctx.strokeStyle='#eee9e9';ctx.stroke(); $
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$ctx.strokeStyle="#202020";ctx.strokeText("-5",115,310);ctx.moveTo(123,0);ctx.lineTo(123,290);ctx.strokeStyle='#eee9e9';ctx.stroke(); $
$ctx.strokeStyle="#202020";ctx.strokeText("-4",139,310);ctx.moveTo(147,0);ctx.lineTo(147,290);ctx.strokeStyle='#eee9e9';ctx.stroke(); $
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$ctx.strokeStyle="#202020";ctx.strokeText("-1",211,310);ctx.moveTo(219,0);ctx.lineTo(219,290);ctx.strokeStyle='#eee9e9';ctx.stroke(); $
$ctx.strokeStyle="#202020";ctx.strokeText("0",235,310);ctx.moveTo(243,0);ctx.lineTo(243,290);ctx.strokeStyle='#eee9e9';ctx.stroke(); $
$ctx.strokeStyle="#202020";ctx.strokeStyle="#b22222";ctx.font="18pxArial"; $
$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(90,0);ctx.lineTo(249,288);ctx.lineWidth=3;ctx.strokeStyle="#ff3399";ctx.stroke(); $
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i: Ostateczne rozwiązanie to:

2y = -3x + 5

y = -3x/2 + 5/2
  9x + 5•(-3x/2+5/2) = 8
  3x/2 = -9/2
  3x = -9
  3x = - 9 

  x = - 3 
  x = -3
  y = -3x/2+5/2  y = -(3/2)(-3)+5/2 = 7 
 {x,y} = {-3,7}