Move −20-20 to the right side of the equation because it does not contain a variable.−9y+4x=20-9y+4x=20−7y+16x−80=0-7y+16x-80=0Move −80-80 to the right side of the equation because it does not contain a variable.−9y+4x=20-9y+4x=20−7y+16x=80-7y+16x=80Write the system of equations in matrix form.[4−92016−780][4-92016-780]Find the reduced row echelon form of the matrix.Tap for more steps...[105010][105010]Use the result matrix to declare the final solutions to the system of equations.x=5x=5y=0y=0The solution is the set of ordered pairs that makes the system true.(5,0)(5,0)Decompose a solution vector by re-arranging each equation represented in the row-reduced form of the augmented matrix by solving for the dependent variable in each row yields the vector equality.X=[xy]=[50]
