Matematyka
Rozwiązanie zadanego układu równań metodą podstawiania:
$\begin{cases}y=3x-20
\\ 2x-3y=11
\end{cases}$
$-3x+y=-202x-3y=11
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$varc=document.getElementById("myCanvas");
$
$varctx=c.getContext("2d");
$
$ctx.font="18pxArial";
$
$ctx.strokeStyle="#202020";ctx.strokeStyle="#b22222";ctx.strokeText("x",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("-5",19,310);ctx.moveTo(27,0);ctx.lineTo(27,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("-4",43,310);ctx.moveTo(51,0);ctx.lineTo(51,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("-3",67,310);ctx.moveTo(75,0);ctx.lineTo(75,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("-2",91,310);ctx.moveTo(99,0);ctx.lineTo(99,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("-1",115,310);ctx.moveTo(123,0);ctx.lineTo(123,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("0",139,310);ctx.moveTo(147,0);ctx.lineTo(147,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("1",163,310);ctx.moveTo(171,0);ctx.lineTo(171,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("2",187,310);ctx.moveTo(195,0);ctx.lineTo(195,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("3",211,310);ctx.moveTo(219,0);ctx.lineTo(219,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("4",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("y",259,310);ctx.font="11pxArial";
$
$ctx.moveTo(267,0);ctx.lineTo(267,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.beginPath();ctx.moveTo(289,104);ctx.lineTo(27,192);ctx.lineWidth=3;ctx.strokeStyle="#ff3399";ctx.stroke();
$
$ctx.beginPath();ctx.moveTo(265,0);ctx.lineTo(74,288);ctx.lineWidth=3;ctx.strokeStyle="#006633";ctx.stroke();
$
i: Ostateczne rozwiązanie to:
y = 3x - 20
-3•(3x-20) + 2x = 11
- 7x = -49
7x = 49
x = 7
y = 3x-20
x = 7 y = 3(7)-20 = 1
{y,x} = {1,7}