X, y={8, 2} PREMISES The values of x and y if (xy, xy)={6, 10} ASSUMPTIONS Let (xy=6) and (xy=10) represent a system of two equations that can be used to solveNow add the equations together In order to add 2 equations, group like terms and combine them Notice the x coefficients add to zero and cancel out This means we've eliminated x altogether So after adding and canceling out the x terms we're left with Divide both sides by to solve for y Reduce Now plug this answer into the top equation to solve for x Example 541 Writing the Augmented Matrix for a System of Equations Write the augmented matrix for the given system of equations x 2y − z = 3 2x − y 2z = 6 x − 3y 3z = 4 Solution The augmented matrix displays the coefficients of the variables, and an additional column for the constants
Solve X And Y X 6 Y 4 1 And 3x 4 X Y 2 7 4 Related Substitution Method Pair Of Linear Equations In Two Variables Edurev Class 10 Question
