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Simplifying bx + ay = ax + -1by Reorder the terms: ay + bx = ax + -1by Solving ay + bx = ax + -1by Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1ax' to each side of the equation. ay + -1ax + bx = ax + -1ax + -1by Reorder the terms: -1ax + ay + bx = ax + -1ax + -1by Combine like terms: ax + -1ax = 0 -1ax + ay + bx = 0 + -1by -1ax + ay + bx = -1by Add '-1bx' to each side of the equation. -1ax + ay + bx + -1bx = -1bx + -1by Combine like terms: bx + -1bx = 0 -1ax + ay + 0 = -1bx + -1by -1ax + ay = -1bx + -1by Reorder the terms: -1ax + ay + bx + by = -1bx + bx + -1by + by Combine like terms: -1bx + bx = 0 -1ax + ay + bx + by = 0 + -1by + by -1ax + ay + bx + by = -1by + by Combine like terms: -1by + by = 0 -1ax + ay + bx + by = 0 The solution to this equation could not be determined.
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