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3. Coordinate Geometry
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Q25 of 52 Page 3

Find at least 3 solutions for the following linear equation in two variables: x + y + 4 = 0

x + y + 4 = 0
Take x = 1,
1 + y + 4 = 0
⇒ y + 5 = 0
  ∴ y = -5
Take x = 2,
2 + y + 4 = 0     ⇒ y = -2-4 = -6     ∴ y = -6
Take x = 3,
3 + y + 4 = 0     ∴ y = -4-3 = -7
∴ The three solutions of the given equation are x = 1, y = -5; x = 2, y = -6 and x = 3, y = -7.

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23 Find at least 3 solutions for the following linear equation in two variables: 2x-3y+7= 0 24 Draw the graph of y = 2x + 1, y = 2x and y = 2x - . Are these parallel? 26 Which of the following equations are linear?
         (i) 5x2 + 4x + 1 = 0
         (ii) x3 – 1 = 0
         (iii) x3 + 1 = 0
         (iv) (x – 5) (x – 7) = 8
         (v) 6x = 42
         (vi) = 9
         (vii) x + 10 = 17
         (viii) x – 9 = 2
         (ix) (x + 2)2 = x2 + 16
         (x) (x – 2) (x + 5) = x + 14
27 Find four solutions for the following equation: 12x + 5y= 0
Questions · 52
3. Coordinate Geometry
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