Matematyka
Rozwiązanie zadanego układu równań metodą podstawiania:
$\begin{cases} k+\frac{l}{2}=3
\\ 2k-\frac{l}{3}=5
\end{cases}$
$l+2k=6l+6k=15
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$ctx.font="18pxArial";
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$ctx.moveTo(27,24);ctx.lineTo(291,24);ctx.stroke();
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$ctx.strokeStyle="#202020";ctx.strokeText("4",7,48);ctx.moveTo(27,48);ctx.lineTo(291,48);ctx.stroke();
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$ctx.strokeText("3",7,72);ctx.moveTo(27,72);ctx.lineTo(291,72);ctx.stroke();
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$ctx.strokeText("2",7,96);ctx.moveTo(27,96);ctx.lineTo(291,96);ctx.stroke();
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$ctx.strokeText("1",7,120);ctx.moveTo(27,120);ctx.lineTo(291,120);ctx.stroke();
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$ctx.strokeStyle="#202020";ctx.strokeText("0",7,144);ctx.moveTo(27,144);ctx.lineTo(291,144);ctx.stroke();
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$ctx.strokeStyle="#202020";ctx.strokeText("-1",7,168);ctx.moveTo(27,168);ctx.lineTo(291,168);ctx.stroke();
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$ctx.strokeText("-2",7,192);ctx.moveTo(27,192);ctx.lineTo(291,192);ctx.stroke();
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$ctx.strokeText("-4",7,240);ctx.moveTo(27,240);ctx.lineTo(291,240);ctx.stroke();
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$ctx.strokeText("-5",7,264);ctx.moveTo(27,264);ctx.lineTo(291,264);ctx.stroke();
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$ctx.strokeText("-6",7,288);ctx.moveTo(27,288);ctx.lineTo(291,288);ctx.stroke();
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$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.strokeText("k",259,310);ctx.font="11pxArial";
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i: Ostateczne rozwiązanie to:
l = -2k + 6
6k - (-2k+6) = 15
8k = 21
8k = 21
k = 21/8
k = 21/8
l = -2k+6 l = -2(21/8)+6 = 3/4
{k,l} = {21/8,3/4}