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Question
Given: mx + ny = p and y = ax + b. Find x in terms of m, n, p, a and b.
Solution
mx + ny = p
Substitute y = ax + b in the above equation
mx + n(ax + b) = p
⇒ mx an x + bn = p
⇒ x(m + an) + bn = p
⇒ x(m + an) = p - bn
⇒ x = `("p" - "bn")/("m" + "an")`.
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