Question
Solve the pair of linear equations by substitution method: 3x – y = 3; 9x – 3y = 9
✓
Answer
3x - y = 3
9x - 3y = 9
The given pair of linear equations is
3x - y = 3..............(1)
9x - 3y = 9.............(2)
From equation(1),
y = 3x - 3...................(3)
9x - 3(3x - 3) = 9
$\Rightarrow$ 9x - 9x + 9 = 9
$\Rightarrow$ 9 = 9
which is true. Therefore, equation (1) and (2) have infinitely many solutions.
9x - 3y = 9
The given pair of linear equations is
3x - y = 3..............(1)
9x - 3y = 9.............(2)
From equation(1),
y = 3x - 3...................(3)
9x - 3(3x - 3) = 9
$\Rightarrow$ 9x - 9x + 9 = 9
$\Rightarrow$ 9 = 9
which is true. Therefore, equation (1) and (2) have infinitely many solutions.
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