Question

# Question 1 (iii) Solve the following pair of linear equations by the substitution method. 3x - y = 3 ; 9x - 3y = 9

Solution

## 3x - y = 3 ... (i) 9x - 3y = 9 ... (ii) From equation (i), we get y = 3x - 3 ... (iii) Substituting  the value of y in equation (ii), we get 9x - 3(3x - 3) = 9 9x - 9x + 9 = 9 9 = 9 This is always true. Hence, the given pair of equations has infinite possible solutions and the relation between these variables can be given by; y = 3x - 3 Therefore, one of its possible solutions is x = 1, y = 0.

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