In this method, we evaluate one of the variable value in terms of the other variable using one of the two equations.
And that value is put into the second equation to solve for the two unknown values.
The solution below will make the idea of Substitution clear. x y = 15 -----(2) (10 y) y = 15 10 2y = 15 2y = 15 – 10 = 5 y = 5/2 Putting this value of y into any of the two equations will give us the value of x.
x y = 15 x 5/2 = 15 x = 15 – 5/2 x = 25/2 Hence (x , y) = (25/2, 5/2) is the solution to the given system of equations. In Elimination Method, our aim is to "eliminate" one variable by making the coefficients of that variable equal and then adding/subtracting the two equations, depending on the case.
This article has over 222,861 views, and 14 testimonials from our readers, earning it our reader-approved status. The basic steps for solving algebra problems involve performing simple operations in small steps that “cancel” the original problem.
Doing these steps carefully and in order should get you to the solution.Together, they cited 8 How marks an article as reader-approved once it receives enough positive feedback.This article has over 644,989 views, and 38 testimonials from our readers, earning it our reader-approved status. Learning algebra can seem intimidating, but once you get the hang of it, it’s not that hard!Next we present and try to solve the examples in a more detailed step-by-step approach.Examples given next are similar to those presented above and have been shown in a way that is more understandable for kids.You just have to follow the order for completing parts of the equation and keep your work organized to avoid mistakes!In solving these equations, we use a simple Algebraic technique called "Substitution Method".In most cases, do the addition or subtraction step first.Knowing Your Objectives in Algebra Applying the Order of Operations Working With Variables Solving Algebra Problems with Inverse Operations Building a Strong Base for Learning Show 2 more... Article Summary Questions & Answers Related Articles This article was co-authored by our trained team of editors and researchers who validated it for accuracy and comprehensiveness.In Algebra, sometimes you may come across equations of the form Ax B = Cx D where x is the variable of the equation, and A, B, C, D are coefficient values (can be both positive and negative). S (Right Hand Side) gives x = 11 Hence x = 11 is the required solution to the above equation.In the next section, we present an example of this type of equation and learn how to solve it through simple Algebraic techniques. In the equation Ax B = Cx D, the coefficients A, B, C, D may also be any decimal numbers.