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The intercept of -3x + 5y - 2z = 60 are (-20, 0, 0), (0, 12, 0) and (0, 0, -30).

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To find the intercepts of the equation (-3x + 5y - 2z = 60), we can set two variables to zero and solve for the third. x-intercept: Set (y = 0) and (z = 0): (-3x = 60 \Rightarrow x = -20) (intercept at ((-20, 0, 0))). y-intercept: Set (x = 0) and (z = 0): (5y = 60 \Rightarrow y = 12) (intercept at ((0, 12, 0))). z-intercept: Set (x = 0) and (y = 0): (-2z = 60 \Rightarrow z = -30) (intercept at ((0, 0, -30))). Thus, the intercepts are ((-20, 0, 0)), ((0, 12, 0)), and ((0, 0, -30)).


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