a) y = x - 3 y = -½x + 3 y = x - 3 x - 3 = -½x + 3 y = x - 3 x + 0,5x = 3 + 3 y = x - 3 1,5x = 6/:1,5 y = x - 3 x = 4 y = 4 - 1 x = 4 y = 1 x = 4 b) x - y = 2 x + 2y = 5 x = 2 +y 2 + y + 2y = 5 x = 2 +y 3y = 5 - 2 x = 2 +y 3y = 3/:3 x = 2 +y y = 1 x = 2 +1 y = 1 x = 3 y = 1 c) y = -2x + 6 3x - 2y = 6 y = -2x + 6 3x - 2(-2x + 6) = 6 y = -2x + 6 3x +4x - 12 = 6 y = -2x + 6 7x = 6 + 12 y = -2x + 6 7x = 18/:7 y = -2x + 6 x = 18/7 y = -2 * 18/7 + 6 x = 18/7 y = 36/7 + 6 x = 18/7 y = 5 1/7 + 6 x = 18/7 y = 11 1/7 x = 18/7 d) -2x + y - 6 = 0 -x + y - 3 = 0 y = 0 + 6 + 2x -x + 0 + 6 + 2x - 3 = 0 y = 6 + 2x x + 3 = 0 x = 0 -3 y = 6 + 2x x = -3 y = 6 + 2*(-3) x = -3 y = 6 -6 x = -3 y = 0 e) -2x + y + 4 = 0 2x + y - 8 = 0 y = 0 -4 + 2x 2x + 0 -4 + 2x - 8 = 0 y = -4 + 2x 4x - 12 = 0 y = -4 + 2x 4x = 12/:4 y = -4 + 2x x = 3 y = -4 + 2*3 x = 3 y = -4 + 6 x = 3 y = 2 x = 3 f) x + 2y + 1 = 0 3x - y + 3 = 0 x = 0 - 1 - 2y 3(0 - 1 - 2y) - y + 3 = 0 x = -1 - 2y 0 - 3 - 6y - y + 3 = 0 x = -1 - 2y -7y = 0/:7 x = -1 - 2y y = 0 x = -1 - 2*0 y = 0 x = -1 - 0 y = 0 x = -1 y = 0
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