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1. Solve the following pair of linear equations by the substitution method.

(ii) s–t=3 & \(\frac{s}{3}+\frac{t}{2}=6\)

(iv) 0.2x + 0.3y = 1.3 & 0.4x + 0.5y = 2.3

(v) \(\sqrt{2}x+\sqrt{3}y=0\) & \(\sqrt3x-\sqrt8y=0\)

(vi) \(\frac{3}{2}x-\frac{5}{3}y=-2\) & \(\frac{x}{3}x+\frac{y}{2}y=\frac{13}{6}\)

2. Solve 2x + 3y = 11 and 2x – 4y = –24 and hence find the value of ‘m’ for which y = mx + 3.

(i) The difference between two numbers is 26 and one number is three times the other. Find them.

(ii) The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them.