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Simplifying p(a + -1b) = q(a + b) (a * p + -1b * p) = q(a + b) (ap + -1bp) = q(a + b) ap + -1bp = (a * q + b * q) ap + -1bp = (aq + bq) Solving ap + -1bp = aq + bq Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1aq' to each side of the equation. ap + -1aq + -1bp = aq + -1aq + bq Combine like terms: aq + -1aq = 0 ap + -1aq + -1bp = 0 + bq ap + -1aq + -1bp = bq Add 'bp' to each side of the equation. ap + -1aq + -1bp + bp = bp + bq Combine like terms: -1bp + bp = 0 ap + -1aq + 0 = bp + bq ap + -1aq = bp + bq Reorder the terms: ap + -1aq + -1bp + -1bq = bp + -1bp + bq + -1bq Combine like terms: bp + -1bp = 0 ap + -1aq + -1bp + -1bq = 0 + bq + -1bq ap + -1aq + -1bp + -1bq = bq + -1bq Combine like terms: bq + -1bq = 0 ap + -1aq + -1bp + -1bq = 0 The solution to this equation could not be determined.
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