Given:
2y = x + 2
x - 3y = -5
∴ y = x/2 + 1
∴ x - 3(x/2 + 1) = -5
∴ x - 3x/2 - 1 = - 5
∴ -x/2 = -4
∴ x = 2
∴ 2y = 2 + 2
∴ y = 2
∴ {x, y} = {2, 2}
Simultaneous equations can be solved using the elimination method.
(2,3)
Use the substitution method to solve the system of equations. Enter your answer as an ordered pair.y = 2x + 5 x = 1
It is called solving by elimination.
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.
Simultaneous equations can be solved using the elimination method.
By elimination: x = 3 and y = 0
standard
The elimination method only works with simultaneous equations, hence another equation is needed here for it to be solvable.
(2,3)
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
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.
Use the substitution method to solve the system of equations. Enter your answer as an ordered pair.y = 2x + 5 x = 1