Solve the following pair of linear equations by the substitution method: (i) x+y=14 and x-y=4 (ii) s-t=3 and…

Mathematics Pair of Linear Equations in Two Variables

Solve the following pair of linear equations by the substitution method:

(i) $x + y = 14$ and $x - y = 4$
(ii) $s - t = 3$ and $\frac{s}{3} + \frac{t}{2} = 6$
(iii) $3 x - y = 3$ and $9 x - 3 y = 9$
(iv) $0.2 x + 0.3 y = 1.3$ and $0.4 x + 0.5 y = 2.3$
(v) $2 x + 3 y = 0$ and $3 x - 8 y = 0$
(vi) $\frac{3 x}{2} - \frac{5 y}{3} = - 2$ and $\frac{x}{3} + \frac{y}{2} = \frac{13}{6}$

🔒 Step-by-step solution