Question

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.

• A. (i), (iv), (ii), (iii)
• B. (ii), (i), (iv), (iii)
• C. (ii), (i), (iii), (iv)
• D. (i), (ii), (iii), (iv)

Answer 1

The correct option is C

(ii), (i), (iii), (iv)

The following are the steps that need to be followed in method of elimination.
Step 1: First multiply both the equations by some suitable non-zero constants to make the coefficients of one variable (either x or y) numerically equal.
Step 2: Then add or subtract one equation from the other so that one variable gets eliminated. If you get an equation in one variable, go to Step 3.
Step 3: Solve the equation in one variable (x or y) so obtained to get its value.
Step 4: Substitute this value of x (or y) in either of the original equations to get the value of the other variable.