2x – y = 10 ------(1) 2x – 4 = 10 2x = 10 4 = 14 x = 14/2 = 7 Hence (x , y) =( 7, 4) gives the complete solution to these two equations.
wiki How's Content Management Team carefully monitors the work from our editorial staff to ensure that each article meets our high How marks an article as reader-approved once it receives enough positive feedback. But if you build up a strong basic knowledge of beginner math facts and learn some of the “language” of algebra, you can understand it much more easily.
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.
In this example, we see that the coefficients of all the variable are same, i.e., 1.
So if we add the two equations, the –y and the y will cancel each other giving as an equation in only x. x – y = 10 x y = 15 2x = 25 x = 25/2 Putting the value of x into any of the two equations will give y = 5/2 Hence (x , y) = (25/2, 5/2) is the solution to the given system of equations.