Pair of Linear Equations in Two Variables Q9

Maths Pair of Linear Equations in Two Variables Medium

Solve the following pairs of equations:

(i) $x + y = 3.3$ , $\frac{0.6}{3 x - 2 y} = - 1$ , $3 x - 2 y \neq = 0$ .
(ii) $\frac{x}{3} + \frac{y}{4} = 4$ , $\frac{5 x}{6} - \frac{y}{8} = 4$ .
(iii) $4 x + \frac{6}{y} = 15$ , $6 x - \frac{8}{y} = 14$ , $y \neq = 0$ .
(iv) $\frac{1}{2 x} - \frac{1}{y} = - 1$ , $\frac{1}{x} + \frac{1}{2 y} = 8$ , $x, y \neq = 0$ .
(v) $43 x + 67 y = - 24$ , $67 x + 43 y = 24$ .
(vi) $\frac{x}{a} + \frac{y}{b} = a + b$ , $\frac{x}{a ^{2}} + \frac{y}{b ^{2}} = 2$ , $a, b \neq = 0$ .
(vii) $\frac{2 x y}{x + y} = \frac{3}{2}$ , $\frac{x y}{2 x - y} = \frac{- 3}{10}$ , $x + y \neq = 0, 2 x - y \neq = 0$ .

🔒 Step-by-step solution

Solve the following pairs of equations: (i) x+y=3.3, 0.6/(3x-2y)=-1, 3x-2y ≠ 0. (ii) x/3+y/4=4, 5x/6-y/8=4. (…