Matematyka
Rozwiązanie zadanego układu równań metodą podstawiania:
$\begin{cases}2x+5=3y
\\ x+2=y
\end{cases}$
$-3y+2x=-5y+x=-2
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$varctx=c.getContext("2d");
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$ctx.font="18pxArial";
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$ctx.strokeStyle="#202020";ctx.strokeStyle="#b22222";ctx.strokeText("y",7,24);ctx.font="12pxArial";
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$ctx.moveTo(27,24);ctx.lineTo(291,24);ctx.stroke();
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$ctx.strokeStyle="#202020";ctx.strokeText("5",7,48);ctx.moveTo(27,48);ctx.lineTo(291,48);ctx.stroke();
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$ctx.strokeText("4",7,72);ctx.moveTo(27,72);ctx.lineTo(291,72);ctx.stroke();
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$ctx.strokeText("3",7,96);ctx.moveTo(27,96);ctx.lineTo(291,96);ctx.stroke();
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$ctx.strokeText("2",7,120);ctx.moveTo(27,120);ctx.lineTo(291,120);ctx.stroke();
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$ctx.strokeText("1",7,144);ctx.moveTo(27,144);ctx.lineTo(291,144);ctx.stroke();
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$ctx.strokeStyle="#202020";ctx.strokeText("0",7,168);ctx.moveTo(27,168);ctx.lineTo(291,168);ctx.stroke();
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$ctx.strokeStyle="#202020";ctx.strokeText("-1",7,192);ctx.moveTo(27,192);ctx.lineTo(291,192);ctx.stroke();
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$ctx.strokeText("-2",7,216);ctx.moveTo(27,216);ctx.lineTo(291,216);ctx.stroke();
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$ctx.strokeText("-3",7,240);ctx.moveTo(27,240);ctx.lineTo(291,240);ctx.stroke();
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$ctx.strokeText("-4",7,264);ctx.moveTo(27,264);ctx.lineTo(291,264);ctx.stroke();
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$ctx.strokeText("-5",7,288);ctx.moveTo(27,288);ctx.lineTo(291,288);ctx.stroke();
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$ctx.strokeStyle="#202020";ctx.strokeText("-7",19,310);ctx.moveTo(27,0);ctx.lineTo(27,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
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$ctx.strokeStyle="#202020";ctx.strokeText("-6",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",67,310);ctx.moveTo(75,0);ctx.lineTo(75,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("-4",91,310);ctx.moveTo(99,0);ctx.lineTo(99,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
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$ctx.strokeStyle="#202020";ctx.strokeText("-3",115,310);ctx.moveTo(123,0);ctx.lineTo(123,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
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$ctx.strokeStyle="#202020";ctx.strokeText("-2",139,310);ctx.moveTo(147,0);ctx.lineTo(147,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
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$ctx.strokeStyle="#202020";ctx.strokeText("-1",163,310);ctx.moveTo(171,0);ctx.lineTo(171,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
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$ctx.strokeStyle="#202020";ctx.strokeText("0",187,310);ctx.moveTo(195,0);ctx.lineTo(195,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
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$ctx.strokeStyle="#202020";ctx.strokeText("1",211,310);ctx.moveTo(219,0);ctx.lineTo(219,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("2",235,310);ctx.moveTo(243,0);ctx.lineTo(243,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
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$ctx.strokeStyle="#202020";ctx.strokeStyle="#b22222";ctx.font="18pxArial";
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$ctx.strokeText("x",259,310);ctx.font="11pxArial";
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$ctx.moveTo(267,0);ctx.lineTo(267,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
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$ctx.beginPath();ctx.moveTo(289,64);ctx.lineTo(27,240);ctx.lineWidth=3;ctx.strokeStyle="#ff3399";ctx.stroke();
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$ctx.beginPath();ctx.moveTo(289,24);ctx.lineTo(27,288);ctx.lineWidth=3;ctx.strokeStyle="#006633";ctx.stroke();
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i: Ostateczne rozwiązanie to:
x = y - 2
2•(y -2) - 3y = -5
- y = -1
y = 1
x = y-2
y = 1 x = (1)-2 = -1
{x,y} = {-1,1}