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.

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

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

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

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

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Solution

The correct option is D
(ii), (i), (iv), (iii)

The following is the correct order of the steps that need to be followed while solving the equations using method of elimination.

Step 1: First Multiply both the equations by any non-zero constant to make the coefficients of any one of the variables numerically equal.

Step2: Add or subtract one equation from the other so that one variable gets eliminated.

Step 3: Solve the equation in one variable thus obtained to get its value.

Step 4: Substitute the obtained value in either of the original equations to get the value of the other variable.

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Similar questions

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.

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

The statements given below are the steps that need to be followed in the method of substitution in random order. Arrange them in correct order to solve two equations.

1) Find the value of one variable, say y in terms of the x if x and y are the two variables.

2) Substitute the x we got from step 2 in either of the equation to get y.

3) Substitute this y in the second equation and it will be reduced to an equation in x, find x.

The statements given below are the steps that need to be followed in the method of substitution in random order. Arrange them in correct order to solve two equations.

1) Find the value of one variable, say y in terms of the x if x and y are the two variables.

2) Substitute the x we got from step 2 in either of the equation to get y.

3) Substitute this y in the second equation and it will be reduced to an equation in x, find x.

For two simultaeous linear equations with two variables, say $x$ and $y,$ arrange the given steps in proper order to find solution of the equations using substitution.

Step a: Solve the $2^{n d}$ equation to find $y .$

Step b: Substitute the value of $y$ in one of the given equations to obtain the value of $x .$

Step c: Inject/ substitute $x$ in the $2^{n d}$ equation to make it a linear equation in one variable.

Step d: In $1^{s t}$ equation, solve for $x$ in terms of $y .$

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