Simultaneous Equation Solver Learn about simultaneous equations concept. A set of independent equations in two or more variables is called a simultaneous equation. To find the value(s) of the variables for which the set of equation holds is called solving the equation. There are different methods used to solve simultaneous equations. In this article, we will learn how to solve the simultaneous equations by Substitution and Elimination methods with examples. The general form of the simultaneous equation can be written as, Elimination Method to Solve Simultaneous Equations Below mare the example on elimination method to solve simultaneous equations Examples :- Solve the simultaneous equations examples using Elimination method 4X + 5Y = 12, 3X - 5Y = 9. Know More About Area of a Regular Polygon Formula
Solution: The given two equations are, 4X + 5Y = 12 -----------------(1) 3X - 5Y = 9 -----------------(2) Step 1: Here the coefficient of one of the variables numerically equal and also opposite signs. So Add the two equations for eliminating Y variable Step 2: Add the like terms, (4X + 3X) + (5Y - 5Y) = 12 + 9. Step 3: After the addition and elimination of Y, rewrite the equation as 7X = 21 Step 4: Divide 7 on both side of the equation 7X7 = 217
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Step 5: After dividing, we get X = 3. Step 6: Substitute the X value in the first equation 4(3) + 5Y = 12, 12 + 5Y = 12. Step 7: Subtracting 12 both sides in the equation. We get Y value, 5Y = 12 - 12, 5Y = 0, Y = 0. Step 8: The solution for this equation is X = 3, Y = 0.
Cubic Equation Solver Algebra is one of the most basic element of mathematics in which, we switch from basic arithmetic to variables. Here instead of using numbers we use different variables to represent different parameters. Algebra has various subdivisions like polynomials, graphing, system of equations, logarithms, etc. Graphing functions is an area covered under algebra which is again a important element of math. Graphing is nothing but the pictorial view of the given function or equation, it may be a line, parabola, hyperbola, curve, circle, etc. The procedure for graphing cubic equations with examples is given in the following sections. How to Graph Cubic Equations The steps for graphing cubic equations are given below: Step 1: Convert the given equation as a function of 'x'. or as a function of 'y'.
Step 2: Assume first type y is a function of 'x'. Since the given equation is a function of x, let y =f(x). Step 3: Therefore f(x) = x3 Step 4: Substitute various values for ‘x’ and find corresponding f(x). Step 5: Tabulate the values as columns x & f(x). The values of x as -2, -1, 0, 1, 2, and for f(x), their corresponding values. Step 6: The values in the table are the co-ordinates, graph them. Step 7: Connect the points to find the shape of the curve for the cubic equations. Examples for Cubic Equations Graph Example 1 :Graph the cubic equation y =x3 Solution :- The function is y = x3 , Since the given equation is a function of y, Let y =f(x). Read More On :- What is a Line Segment
Therefore f(y) = x3 Substitute various values for ‘y’ and find corresponding f(y). When x= -3 f(-3) = (-3)3 -27 -27, therefore the co-ordinates are (-3, -27) When x= -2 f(-2) = (-2)3 , -8, -8, therefore the co-ordinates are (-2, -8)
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