Transcript Example 18 Solve the following pair of equations by reducing them to a pair of linear equations 5/(𝑥 −1) 1/(𝑦 −2) = 2 6/(𝑥 −1) – 3/(𝑦 −2) = 1 5/(𝑥 − 1) 1/(𝑦 − 2) = 2 6/(𝑥 − 1) – 3/(𝑦 − 2) = 1 So, our equations become 5u v = 2 6u – 3v = 1 Thus, our equations are 5u v = 2 (3) 6u – 3v = 1 (4) From (3) 5u v = 2 v = 2 Transcript Ex 36, 1 Solve the following pairs of equations by reducing them to a pair of linear equations (i) 1/2𝑥 1/3𝑦 = 2 1/3𝑥 1/2𝑦 = 13/6 1/2𝑥 1/3𝑦 = 2 1/3𝑥 1/2𝑦 = 13/6 Let 1/𝑥 = u 1/𝑦 = v So, our equations become 1/2 u 1/3 v = 2 (3𝑢 2𝑣)/(2 × 3) = 2 3u 2v = 12 1/3 u 1/2 v = 13/6 (2𝑢 3𝑣)/(2 × 3) = 13/6 2u 3v = 13 Our equations(1/2) x (3/2) (x 1) 1/4 = 5 (1/2) x (3/2) x 3/2 1/4 = 5 2x = 5 3/2 1/4 2x = /4 6/4 1/4 2x = 15/4 x = 15/8
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