Q14 of 52 Page 3

Find at least 3 solutions for the following linear equation in two variables: 2x + 5y = 13

2x + 5y = 13
Take x = 1,
2൱ + 5y = 13    ⇒ 5y  = 13 - 2  = 11      \\ y  =
Take x = 2,
2൲ + 5y = 13    ⇒ 5y = 13 - 4 = 9     ∴ y =
Take x = 3,
2൳+5y=13    ⇒  5y = 13 - 6 = 7 ⇒  y = ∴ The three solutions of the given equation are x = 1, y = ; x = 2, y = and x = 3, y=.

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12 Draw the graph for the equation –2x + y – 7 = 0. Check whether the point (-3, -2) is on the given line. 13 In each case find the points where the line meets the two axes.
         (i) 2x + y = 6
        (ii)  x - 2y = 4
        (iii) 2(x - 1) + 3y = 4
        (iv) y - 3x = 9
        (v)  2(x + 3) - 3(y + 1) = 0
        (vi) (x - y) - y + 4 = 0 15 Draw the graph of the equation y = 3x – 4 and read off the value of  y when x = -1 16 Solve for x: 6(1 + x) + 52 - x = 98