Added linearEquations generator

mathgenerator/mathgen.py

@@ -276,6 +276,29 @@ def factoringFunc(range_x1 = 10, range_x2 = 10):
   solution = f"(x{x1})(x{x2})"
   return problem, solution
 
+def linearEquationsFunc(n = 2, varRange = 20, coeffRange = 20):
+    if n > 10:
+        print("[!] n cannot be greater than 10")
+        return None, None
+
+    vars = ['x', 'y', 'z', 'a', 'b', 'c', 'd', 'e', 'f', 'g'][:n]
+    soln = [ random.randint(-varRange, varRange) for i in range(n) ]
+
+    problem = list()
+    solution = ", ".join(["{} = {}".format(vars[i], soln[i]) for i in range(n)])
+    for _ in range(n):
+        coeff = [ random.randint(-coeffRange, coeffRange) for i in range(n) ]
+        res = sum([ coeff[i] * soln[i] for i in range(n)])
+        
+        prob = ["{}{}".format(coeff[i], vars[i]) if coeff[i] != 0 else "" for i in range(n)]
+        while "" in prob:
+            prob.remove("")
+        prob = " + ".join(prob) + " = " + str(res)
+        problem.append(prob)
+    
+    problem = "\n".join(problem)
+    return problem, solution
+
 # || Class Instances
 
 #Format is:
@@ -301,4 +324,5 @@ intMatrix22Multiplication = Generator("Integer Multiplication with 2x2 Matrix",
 areaOfTriangle = Generator("Area of Triangle", 18, "Area of Triangle with side lengths a, b, c = ", "area", areaOfTriangleFunc)
 doesTriangleExist = Generator("Triangle exists check", 19, "Does triangle with sides a, b and c exist?","Yes/No", isTriangleValidFunc)
 midPointOfTwoPoint=Generator("Midpoint of the two point", 20,"((X1,Y1),(X2,Y2))=","((X1+X2)/2,(Y1+Y2)/2)",MidPointOfTwoPointFunc)
-factoring = Generator("Subtraction", 21, "x^2+(x1+x2)+x1*x2", "(x-x1)(x-x2)", factoringFunc)
+factoring = Generator("Subtraction", 21, "x^2+(x1+x2)+x1*x2", "(x-x1)(x-x2)", factoringFunc)
+linearEquations = Generator("Linear Equations", 22, "2x+5y=20 & 3x+6y=12", "x=-20 & y=12", linearEquationsFunc)