By elimination: x = 3 and y = 0
standard
By the substitution method By the elimination method By plotting them on a graph
To solve the simultaneous equations (5x + 2y = 11) and (4x - 3y = 18), we can use the substitution or elimination method. By manipulating the equations, we find that (x = 4) and (y = -3). Thus, the solution to the simultaneous equations is (x = 4) and (y = -3).
There are several methods to solve linear equations, including the substitution method, elimination method, and graphical method. Additionally, matrix methods such as Gaussian elimination and using inverse matrices can also be employed for solving systems of linear equations. Each method has its own advantages depending on the complexity of the equations and the number of variables involved.
4
Simultaneous equations can be solved using the elimination method.
standard
The elimination method only works with simultaneous equations, hence another equation is needed here for it to be solvable.
The elimination method and the substitutionmethod.
By the substitution method By the elimination method By plotting them on a graph
Solving these simultaneous equations by the elimination method:- x = 1/8 and y = 23/12
Solving the above simultaneous equations by means of the elimination method works out as x = 2 and y = 3
It is called solving by elimination.
4
There is no simple answer. Sometimes, the nature of one of the equations lends itself to the substitution method but at other times, elimination is better. If they are non-linear equations, and there is an easy substitution then that is the best approach. With linear equations, using the inverse matrix is the fastest method.
Usually elimination is used on two equations and is called linear combination. You could solve for "y." That is customary. 2x+3y=1 3y=-2y+1 y=(-2/3)x+1/3
There are no disadvantages. There are three main ways to solve linear equations which are: substitution, graphing, and elimination. The method that is most appropriate can be found by looking at the equation.