-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathmaths.php
129 lines (115 loc) · 4.36 KB
/
maths.php
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
<!DOCTYPE html>
<html dir="ltr" lang="en-US"><head>
<meta charset="utf-8">
<title>Solving Linear Equations</title>
<meta name="viewport" content="initial-scale = 1.0, maximum-scale = 1.0, user-scalable = no, width = device-width">
<link rel="stylesheet" href="style.css" media="screen">
<link rel="stylesheet" href="style.responsive.css" media="all">
<script src="jquery.js"></script>
<script src="script.js"></script>
<script src="script.responsive.js"></script>
</head>
<body>
<div id="art-main">
<header class="art-header clearfix">
<div class="art-shapes">
<h1 class="art-headline" data-left="15.52%">
<a href="#">Solving Linear Eqations in 2 variables!</a>
</h1>
<div class="art-object0" data-left="2.62%"></div>
</div>
<nav class="art-nav clearfix">
<div class="art-nav-inner">
<ul class="art-hmenu">
<li><a href="index.php" class="active">Home</a></li>
<li><a href="User.php">How-To-Use</a></li>
</ul>
</div>
</nav>
</header>
<div class="art-sheet clearfix">
<div class="art-layout-wrapper clearfix">
<div class="art-content-layout">
<div class="art-content-layout-row">
<div class="art-layout-cell art-content clearfix"><article class="art-post art-article">
<h2 class="art-postheader">Solution -
</h2>
<div class="art-postcontent art-postcontent-0 clearfix"><p><b> <?php if(isset($_POST['Attempt'])){
$a1 =$_POST['a1'];
$b1 =$_POST['b1'];
$c1 =$_POST['c1'];
$a2 =$_POST['a2'];
$b2 =$_POST['b2'];
$c2 =$_POST['c2'];
echo "<font color='#FF0000'>Note :</font>"."<br/>";
echo "We refer the equations as a1*x + b1*y = c1, likewise the equation 2 too.<br/>";
echo "<font color='#FF0000'>Step One</font>"."<br/>";
echo "Multiply by constants, such that the constant with some variable (x or y) is same in both the equations. <br/>";
echo "We go with x, you cal choose any.<br/>";
$a12 = $a1*$a2;
$b12 = $b1*$a2;
$c12 = $c1*$a2;
$a21 = $a2*$a1;
$b21 = $b2*$a1;
$c21 = $c2*$a1;
echo "Eqation 1 -- (".$a1."<i>x</i> + ".$b1."<i>y</i> = ".$c1.")*".$a2."<br/>";
echo "Eqation 2 -- (".$a2."<i>x</i> + ".$b2."<i>y</i> = ".$c2.")*".$a1."<br/>";
echo "Thus the equations become:- <br/>";
echo "Eqation 1 -- ".$a12."<i>x</i> + ".$b12."<i>y</i> = ".$c12."<br/>";
echo "Eqation 1 -- ".$a21."<i>x</i> + ".$b21."<i>y</i> = ".$c21."<br/>";
echo "<font color='#FF0000'>Step Two</font><br/>";
echo "Now, subtract both the equations.<br/>";
echo "(".$a12." - ".$a21.")<i>x</i> + (".$b12." - ".$b21.")<i>y</i> = ".$c12." - ".$c21."<br/>";
echo "We get :- <br/>";
$a = $a12-$a21;
$b = $b12- $b21;
$c = $c12 - $c21;
echo $a."<i>x</i> + ".$b."<i>y</i> = ".$c."<br/>";
echo "<font color='#FF0000'>Now</font><br/>";
if($b == 0 && $c == 0){
echo "They are both same lines.<br/>";
}
elseif($b==0){
echo "They are parallel lines, thus no solution possible.<br/>";
}
else{
$y = $c/$b;
echo "<i>y</i> = ".$y."<br/>";
echo "Use this value of <i>y</i>, plug it into one of the equations and get the value of <i>x</i>.<br/>";
if($a1 != 0){
$x = ($c1-$b1*$y)/$a1;
echo "Plugging <i>y</i> into <i>Equaitn 1</i>:<br/>";
echo "<i>x</i> = (".$c1." - ".$b1."*<i>y</i>)/".$a1/"<br/>";
echo "<i>x</i> = (".$c1." - ".$b1."*".$y.")/".$a1/"<br/>";
}
else{
$x= ($c2-$b2*$y)/$a2;
echo "Plugging <i>y</i> into <i>Equaitn 2</i>:<br/>";
echo "<i>x</i> = (".$c2." - ".$b2."*<i>y</i>)/".$a2/"<br/>";
echo "<i>x</i> = (".$c2." - ".$b2."*".$y.")/".$a2/"<br/>";
}
echo "Thus,<i>x</i> = ".$x."<br/>";
}
}?></b></p>
</div>
</article></div>
</div>
</div>
</div>
</div>
<footer class="art-footer clearfix">
<div class="art-footer-inner">
<div class="art-content-layout">
<div class="art-content-layout-row">
<div class="art-layout-cell layout-item-0" style="width: 50%">
<p>© shivam_007 <i>on topcoder</i> </p>
</div><div class="art-layout-cell layout-item-0" style="width: 50%">
</div>
</div>
</div>
<p class="art-page-footer">
</p>
</div>
</footer>
</div>
</body></html>