Solve the following pair of linear equations by the substitution method and cross multiplication

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Q.

Solve the following pair of linear equations by the substitution method and cross multiplication

From equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (i), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Hence,

Solve the following pair of linear equations by the substitution method and cross multiplication

Again, by cross-multiplication method, we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Solve the following pair of linear equations by the substitution method and cross multiplication

From equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (i), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Hence,

Solve the following pair of linear equations by the substitution method and cross multiplication

Again, by cross-multiplication method, we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Solve the following pair of linear equations by the substitution method and cross multiplication

From equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (i), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Hence,

Solve the following pair of linear equations by the substitution method and cross multiplication

Again, by cross-multiplication method, we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Solve the following pair of linear equations by the substitution method and cross multiplication

From equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (i), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Hence,

Solve the following pair of linear equations by the substitution method and cross multiplication

Again, by cross-multiplication method, we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Solve the following pair of linear equations by the substitution and cross-multiplication methods:

Solve the following pair of linear equations by the substitution method and cross multiplication

Solve the following pair of linear equations by the substitution method and cross multiplication

From equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (i), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Hence,

Solve the following pair of linear equations by the substitution method and cross multiplication

Again, by cross-multiplication method, we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Solve the following pair of linear equations by the substitution method and cross multiplication

From equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (i), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Hence,

Solve the following pair of linear equations by the substitution method and cross multiplication

Again, by cross-multiplication method, we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Solve the following pair of linear equations by the substitution method and cross multiplication

From equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (i), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Hence,

Solve the following pair of linear equations by the substitution method and cross multiplication

Again, by cross-multiplication method, we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Solve the following pair of linear equations by the substitution method and cross multiplication

From equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (i), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Hence,

Solve the following pair of linear equations by the substitution method and cross multiplication

Again, by cross-multiplication method, we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

(i) For which values of a and b will the following pair of linear equations have an

infinite number of solutions?

Solve the following pair of linear equations by the substitution method and cross multiplication

(ii) For which value of k will the following pair of linear equations have no solution?

Solve the following pair of linear equations by the substitution method and cross multiplication

Which of the following pairs of linear equations has unique solution, no solution or infinitely many solutions? In case there is a unique solution, find it by using cross multiplication method.

Solve the following pair of linear equations by the substitution method and cross multiplication

Q.

Solve the following pair of linear equations by the substitution method and cross multiplication

From equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (i), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Hence,

Solve the following pair of linear equations by the substitution method and cross multiplication

Again, by cross-multiplication method, we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Solve the following pair of linear equations by the substitution method and cross multiplication

From equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (i), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Hence,

Solve the following pair of linear equations by the substitution method and cross multiplication

Again, by cross-multiplication method, we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Solve the following pair of linear equations by the substitution method and cross multiplication

From equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (i), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Hence,

Solve the following pair of linear equations by the substitution method and cross multiplication

Again, by cross-multiplication method, we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Solve the following pair of linear equations by the substitution method and cross multiplication

From equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (i), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Hence,

Solve the following pair of linear equations by the substitution method and cross multiplication

Again, by cross-multiplication method, we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Solve the following pair of linear equations by the substitution and cross-multiplication methods:

Solve the following pair of linear equations by the substitution method and cross multiplication

Solve the following pair of linear equations by the substitution method and cross multiplication

From equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (i), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Hence,

Solve the following pair of linear equations by the substitution method and cross multiplication

Again, by cross-multiplication method, we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Solve the following pair of linear equations by the substitution method and cross multiplication

From equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (i), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Hence,

Solve the following pair of linear equations by the substitution method and cross multiplication

Again, by cross-multiplication method, we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Solve the following pair of linear equations by the substitution method and cross multiplication

From equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (i), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Hence,

Solve the following pair of linear equations by the substitution method and cross multiplication

Again, by cross-multiplication method, we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Solve the following pair of linear equations by the substitution method and cross multiplication

From equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (i), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Substituting this value in equation (ii), we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

Hence,

Solve the following pair of linear equations by the substitution method and cross multiplication

Again, by cross-multiplication method, we obtain

Solve the following pair of linear equations by the substitution method and cross multiplication

(i) For which values of a and b will the following pair of linear equations have an

infinite number of solutions?

Solve the following pair of linear equations by the substitution method and cross multiplication

(ii) For which value of k will the following pair of linear equations have no solution?

Solve the following pair of linear equations by the substitution method and cross multiplication

Which of the following pairs of linear equations has unique solution, no solution or infinitely many solutions? In case there is a unique solution, find it by using cross multiplication method.

Solve the following pair of linear equations by the substitution method and cross multiplication