The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods. After cancelling the one variable we deal with a simple linear equation to solve, like a one-step equation in [tex]x[/tex] or in [tex]y[/tex].
For example:
[tex]2x+y=10\\x-y=8[/tex]
Adding both the equations we get
[tex]3x=18\\[/tex]
⇒[tex]x=6[/tex]
And [tex]y=-2[/tex]
So the solution of the equation is [tex](6,-2)[/tex]
Learn more about the elimination method here:
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