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There are an infinite number of them. Here are a few: x= -2, y= -5/3 x= -1, y= -4/3 x= 0, y= -1 x= 1, y= -2/3 x= 2, y= -1/3 x= 3, y= 0 x= 12, y= 3
x + 1 = y y + 3 = z z = y + 3 = (x + 1) + 3 = x + 4 Or: x = y - 1 = (z - 3) - 1 = z - 4 Which results in the same: x exceeds z by 4.
log3x - 2logx3 = 1 so 1/logx3 - 2logx3 = 1 Let y = logx3 then 1/y - 2y = 1 multiply through by y: 1 - 2y2 = y that is, 2y2 + y - 1 = 0 which factorises to (y + 1)(2y -1) = 0 so that y = -1 or y = 1/2 y = -1 implies logx3 = -1 so that x-1 = 3 ie 1/x = 3 or x= 1/3 y = 1/2 implies logx3 = 1/2 so that x1/2 = 3 or x = 32 = 9
y = x + 2 y = -x + 4 x + 2 = -x + 4 2x + 2 = 4 2x = 2 x = 1 y = x + 2 y = 1 + 2 y = 3 (1, 3)
x=4+y 4x+y=1 = 4(4+y)+y=1 16+4y+y=1 16+5y=1 5y=-15 y=-3 x=4+y = x=4+(-3) x=1