Update README.md

README.md

@@ -47,11 +47,98 @@ The model can solve any equation of the form ```Ay + ay + b + B = Dy + dy + c +
 ## Training and evaluation data
 
 I will complete the evaluation data later, but for now, 
-let’s show an example of a linear equation where this model finds the correct solution, unlike other models such as ChatGPT3.5, Bard, Llama 70B, and Mixtral:
+let’s show an example of a linear equation where this model finds the correct solution, unlike other models such as ChatGPT3.5, Bard, Llama 70B, and Mixtral.
 
-<p align="center">
-  <img src="https://huggingface.co/Menouar/falcon7b-linear-equations/blob/main/Chatgpt_bard.jpg" alt="Your image description" />
-</p>
+```
+Solve for y: 10 + 4y -9y +5 = 4 +8y - 2y + 8 .
+```
+
+<strong>Mixtral 8x7b</strong><br>
+Let's first simplify the equation by combining like terms:<br>
+10 - 5y + 5 = 4 + 6y<br>
+Now, let's get all the y terms on one side and constants on the other side. Subtract 6y from both sides:<br>
+10 - 5y - 6y + 5 = 4 + 6y - 6y<br>
+This simplifies to:<br>
+15 - 11y = 4<br>
+Next, subtract 15 from both sides to isolate the y term:<br>
+15 - 15 - 11y = 4 - 15<br>
+This simplifies to:<br>
+-11y = -11<br>
+Finally, divide both sides by -11 to solve for y:<br>
+y = -11 / -11<br>
+So,<br>
+<strong><span style="color:red">
+y = 1
+</span></strong>.
+
+<strong>Llma 70b</strong><br>
+To solve for y, we need to isolate the y term on one side of the equation.<br>
+First, we can combine the like terms:<br>
+10 + 4y - 9y + 5 = 4 + 8y - 2y + 8<br>
+This simplifies to:<br>
+10 - 5y + 5 = 4 + 6y<br>
+Next, we can subtract 4 from both sides:<br>
+6 - 5y + 5 = 6y<br>
+Now, we can isolate the y term by subtracting 5 from both sides:<br>
+-5y + 5 = 6y - 5<br>
+This simplifies to:<br>
+-5y = 11<br>
+Finally, we can divide both sides by -5 to solve for y:<br>
+y = -11/5<br>
+Therefore, the value of y is <strong><span style="color:red">
+-11/5
+</span></strong>.
+
+<strong>ChatGPT3.5</strong><br>
+To solve for y in the given equation 10 + 4y - 9y + 5 = 4 + 8y - 2y + 8, follow these steps:<br>
+Combine like terms on each side: (4y - 9y + 5) + 10 = (6y + 12 + 8y - 2y)<br>
+Combine the y terms and constants separately: -5y + 15 = 12y + 12<br>
+Move all terms involving y to one side and the constants to the other side: -5y - 12y = 12 - 15<br>
+Combine like terms: -17y = -3<br>
+Divide by -17: y = 3/17<br>
+Therefore, the solution to the equation 10 + 4y - 9y + 5 = 4 + 8y - 2y + 8 is <strong><span style="color:red">
+y = 3/17
+</span></strong>.
+
+<strong>Bard</strong><br>
+Sure, I'd be happy to help you solve for y. Here is the solution:<br>
+10 + 4y - 9y +5 = 4 +8y - 2y + 8<br>
+First, combine like terms on each side of the equation.<br>
+-5y + 15 = 12 + 6y<br>
+Next, subtract 6y from both sides of the equation.<br>
+-11y + 15 = 12<br>
+Finally, subtract 15 from both sides of the equation to isolate y.<br>
+-11y = -3<br>
+Divide both sides of the equation by -11 to find y.<br>
+<strong><span style="color:green">
+y = 0.2727
+</span></strong>.
+
+<strong>BingChat</strong><br>
+Combine like terms on both sides:<br>
+10 + 4y - 9y + 5 = 15 - 5y<br>
+4 + 8y - 2y + 8 = 12 + 6y<br>
+This gives us:<br>
+15 - 5y = 12 + 6y<br>
+Solving for y in one step:<br>
+<strong><span style="color:green">
+y = 3 / 11
+</span></strong>.
+
+<strong>Falcon7B-linear-equation</strong><br>
+The equation is in the form of ay + b = dy + c where:<br>
+a = 4 - 9 = -5<br>
+b = 10 + 5 = 15<br>
+d = 8 - 2 = 6<br>
+c = 4 + 8 = 12<br>
+The solution is y = (c - b)/(a - d) if a ≠ d <br>
+12 - 15 = -3<br>
+-5 - 6 = -11<br>
+y = -3 / -11<br>
+The fraction -3 / -11 = 3 / 11.<br>
+The solution is <strong><span style="color:green">
+y = 3 / 11
+</span></strong>.
 
 
 ## Training procedure