###### Asked in Math and ArithmeticAlgebraCalculus

Math and Arithmetic

Algebra

Calculus

# How do you use the elimination method using x and y?

## Answer

###### Wiki User

###### August 29, 2008 1:50AM

Let's explain with an example: 2x - 7y = 11 5x + 7y = 3 To solve this system of equations by elimination we "add" the second equation to the first equation. So basically: 2x + 5x - 7y + 7y = 11 + 3 Which then symplifies to: 7x = 14 and x = 2 Then plug x = 2 into the original equation: 5(2) + 7y = 3 Which leads to: y = -1 So the solution is (2,-1).

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### When using elimination to solve a system of equations how would you recognize it has no solution?

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