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

MATHEMATICS · Multi-part · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables

Problem

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

x+y=14

x-y=4

(ii)

s-t=3

\frac{s}{3}+\frac{t}{2}=6

(iii)

3 x-y=3

9 x-3 y=9

(iv)

0.2 x+0.3 y=1.3

0.4 x+0.5 y=2.3

(v)

\sqrt{2} x+\sqrt{3} y=0

\sqrt{3} x-\sqrt{8} y=0

(vi)

\frac{3 x}{2}-\frac{5 y}{3}=-2

\frac{x}{3}+\frac{y}{2}=\frac{13}{6}