Question

an explanation for elimination method

Answer 1

The elimination method of solving systems of equations is also called the addition method. To solve a system of equations by elimination we transform the system such that one variable "cancels out".

Example 1: Solve the system of equations by elimination

Solution:

In this example we will "cancel out" the y term. To do so, we can add the equations together.

3x-y=5

x+y=3

4x=8

Now we can find: x = 2

In order to solve for y, take the value for x and substitute it back into either one of the original equations.

x+y=3

2+y=3

y=1

The solution is (x, y) = (2, 1).

Answer 2

in this method, we express one of the variables in the terms of the variable from either of the two equations and then this expression is out in the other equation to obtain an equation.
ALGORITHM :
1.Firstly we will obtain two equation:
a1x +b1y +c1 =0
a2x +b2y +c2=0
2.Choose one of the equation,and find the value of one variable,say 'y'.
3.After getting the value of one variable put the value of variable into one of the equation say first equation.
4.Thenn we will get the values of x as well as y.