Matematyka
Rozwiązanie zadanego układu równań metodą podstawiania:
$\begin{cases}x+y=4
\\ y-x=-2
\end{cases}$
$y+x=4y-x=-2
$
$
$
$
$
$varc=document.getElementById("myCanvas");
$
$varctx=c.getContext("2d");
$
$ctx.font="18pxArial";
$
$ctx.strokeStyle="#202020";ctx.strokeStyle="#b22222";ctx.strokeText("y",5,24);ctx.font="12pxArial";
$
$ctx.moveTo(35,24);ctx.lineTo(370,24);ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("8",5,48);ctx.moveTo(35,48);ctx.lineTo(370,48);ctx.stroke();
$
$ctx.strokeText("7",5,72);ctx.moveTo(35,72);ctx.lineTo(370,72);ctx.stroke();
$
$ctx.strokeText("6",5,96);ctx.moveTo(35,96);ctx.lineTo(370,96);ctx.stroke();
$
$ctx.strokeText("5",5,120);ctx.moveTo(35,120);ctx.lineTo(370,120);ctx.stroke();
$
$ctx.strokeText("4",5,144);ctx.moveTo(35,144);ctx.lineTo(370,144);ctx.stroke();
$
$ctx.strokeText("3",5,168);ctx.moveTo(35,168);ctx.lineTo(370,168);ctx.stroke();
$
$ctx.strokeText("2",5,192);ctx.moveTo(35,192);ctx.lineTo(370,192);ctx.stroke();
$
$ctx.strokeText("1",5,216);ctx.moveTo(35,216);ctx.lineTo(370,216);ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("0",5,240);ctx.moveTo(35,240);ctx.lineTo(370,240);ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("-1",5,264);ctx.moveTo(35,264);ctx.lineTo(370,264);ctx.stroke();
$
$ctx.strokeText("-2",5,288);ctx.moveTo(35,288);ctx.lineTo(370,288);ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("-6",27,310);ctx.moveTo(35,0);ctx.lineTo(35,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("-5",51,310);ctx.moveTo(59,0);ctx.lineTo(59,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("-4",75,310);ctx.moveTo(83,0);ctx.lineTo(83,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("-3",99,310);ctx.moveTo(107,0);ctx.lineTo(107,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("-2",123,310);ctx.moveTo(131,0);ctx.lineTo(131,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("-1",147,310);ctx.moveTo(155,0);ctx.lineTo(155,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("0",171,310);ctx.moveTo(179,0);ctx.lineTo(179,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("1",195,310);ctx.moveTo(203,0);ctx.lineTo(203,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("2",219,310);ctx.moveTo(227,0);ctx.lineTo(227,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("3",243,310);ctx.moveTo(251,0);ctx.lineTo(251,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("4",267,310);ctx.moveTo(275,0);ctx.lineTo(275,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("5",291,310);ctx.moveTo(299,0);ctx.lineTo(299,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("6",315,310);ctx.moveTo(323,0);ctx.lineTo(323,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.strokeStyle="#202020";ctx.strokeText("7",339,310);ctx.moveTo(347,0);ctx.lineTo(347,290);ctx.strokeStyle='#eee9e9';ctx.stroke();
$
$ctx.beginPath();ctx.moveTo(35,0);ctx.lineTo(320,288);ctx.lineWidth=3;ctx.strokeStyle="#ff3399";ctx.stroke();
$
$ctx.beginPath();ctx.moveTo(368,96);ctx.lineTo(177,288);ctx.lineWidth=3;ctx.strokeStyle="#006633";ctx.stroke();
$
i: Ostateczne rozwiązanie to:
y = x - 2
x + (x -2) = 4
2x = 6
2x = 6
x = 3
x = 3
y = x-2 y = (3)-2 = 1
{x,y} = {3,1}