Elimination Calculator

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Elimination method is a very useful method to solve given two equations in Algebra. In the process of elimination, values of the unknown variables are found by canceling a common variable in both the equations. The online tool used to solve the given equations by the method of elimination is called as elimination calculator.


Example 1: Find the values of X, Y in the equations X + Y = 8, X - 2Y = 2?

The method of elimination can be used to solve for the two variables X and Y.

The first step is to eliminate X from both the equations, so subtracting both the equations.

(X+ Y) - (X - 2Y) = (8 - 2) => 3 Y = 6 => Y = 2.

Now put Y = 2 in either of the equations, 2 + X = 8 => X = 6.

So X= 6 and Y = 2.  



Example 2: Find the values of X, Y in the equations 2X + Y = 1, X - Y = 5?

The method of elimination can be used to solve for the two unknowns X and Y.

First step is to eliminate Y from both the equations; so multiply (X-Y=5) by 2.

Now subtracting both the equations, we get

(2X+Y) - (2X-2Y) = (1-10) > 3Y= -9 > Y= -3.

Now put Y = -3 in either of the equations > X –(-3) = 5 => X = 2.

So X= 2 and Y = -3


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