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Simplifying xa + yb = 0 Solving ax + by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1by' to each side of the equation. ax + by + -1by = 0 + -1by Combine like terms: by + -1by = 0 ax + 0 = 0 + -1by ax = 0 + -1by Remove the zero: ax = -1by Divide each side by 'x'. a = -1bx-1y Simplifying a = -1bx-1y
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