NCERT Solution Class X Mathematics Pair of Linear Equations in Two Variables Question 1 (Ex 3.6)

Question 1:

Solve the following pairs of equations by reducing them to a pair of linear equations:

Answer:

Multiplying equation (1) by 3, we obtain
6p + 9q = 6 (3)
Adding equation (2) and (3), we obtain

By cross-multiplication, we obtain

Putting this value in equation (1), we obtain

(v)

By cross-multiplication method, we obtain

By cross-multiplication method, we obtain

Substituting in equation (3), we obtain

y = 2

Hence, x = 3, y = 2

Substituting in (2), we obtain

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