Question

Given below are three quations. Two of them have infinite solutions and two have a unique solution. State two pairs: 3x-2y=4; 6x+2y=4: 9x-6y=12

Answer 1

1) Infinite Solutions: 

3 x - 2 y = 4 and 9 x - 6 y = 12

As they satisfy a₁/a₂ = b₁/b₂ = c₁/c₂

⇒ 3/9 = -2/-6 = 4/12

⇒ 1/3 = 1/3 = 1/3
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2) Unique solution:

3 x - 2 y = 4 and 6 x + 2 y = 4

As they satisfy a₁/a₂ ≠ b₁/b₂

⇒ 3/6 ≠ -2/2

⇒ 1/2 ≠ -1
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