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Simplifying c(y + -1x) + d(x + -1y) = 0 Reorder the terms: c(-1x + y) + d(x + -1y) = 0 (-1x * c + y * c) + d(x + -1y) = 0 (-1cx + cy) + d(x + -1y) = 0 -1cx + cy + (x * d + -1y * d) = 0 -1cx + cy + (dx + -1dy) = 0 Solving -1cx + cy + dx + -1dy = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1dx' to each side of the equation. -1cx + cy + dx + -1dx + -1dy = 0 + -1dx Combine like terms: dx + -1dx = 0 -1cx + cy + 0 + -1dy = 0 + -1dx -1cx + cy + -1dy = 0 + -1dx Remove the zero: -1cx + cy + -1dy = -1dx Add 'dy' to each side of the equation. -1cx + cy + -1dy + dy = -1dx + dy Combine like terms: -1dy + dy = 0 -1cx + cy + 0 = -1dx + dy -1cx + cy = -1dx + dy Reorder the terms: -1cx + cy + dx + -1dy = -1dx + dx + dy + -1dy Combine like terms: -1dx + dx = 0 -1cx + cy + dx + -1dy = 0 + dy + -1dy -1cx + cy + dx + -1dy = dy + -1dy Combine like terms: dy + -1dy = 0 -1cx + cy + dx + -1dy = 0 The solution to this equation could not be determined.
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