In the elimination method of solving two linear equations in 2 variables, we always add the equations to eliminate any one variable.

False

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True

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Solution

The correct option is A False

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Solve the following pair of linear equations by the elimination method and the substitution method:

Q. State true or false:
In the elimination method of solving two linear equations in 2 variables, we always add the equations to eliminate any one variable.

Select the correct approach for solving a pair of linear equations in 2 variables by elimination method.
i) Add or subtract one equation from the other so that one variable gets eliminated.
ii) Multiply both the equations by any non-zero constant to make the coefficients of one variable (either x or y) numerically equal.
iii) Solve the equation in one variable (x or y) to get its value.
iv) Substitute the value of x (or y) in either of the original equations to get the value of the other variable.

Explanation of the elimination method of linear equation in 2 variable.

Select the correct order for solving a pair of linear equations in two variables by elimination method.

i) Add or subtract one equation from the other so that one variable gets eliminated.

ii) Multiply both the equations by any non-zero constant to make the coefficients of any one of the variables numerically equal.

iii) Substitute the obtained value in either of the original equations to get the value of the other variable.

iv) Solve the equation in one variable thus obtained to get its value.

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