R. D. Sharma Solutions for Chapter: Pair of Linear Equations in Two Variables, Exercise 4: EXERCISE 3.4

Solve each of the following systems of equations by the method of cross-multiplication:
$\frac{x}{a}=\frac{y}{b}$

$ax+by=a^2+b^2$

Solve each of the following systems of equations by the method of cross-multiplication:
$ax+by=\frac{a+b}{2}$
$3x+5y=4$

Solve the following systems of equations by the method of cross-multiplication:
$2(ax-by)+a+4b=0$
$2(bx+ay)+b-4a=0$

Solve the following system of equations by the method of cross-multiplication:

$6(ax+by)=3a+2b$

$6(bx-ay)=3b-2a$

Solve the following system of equation by the method of cross-multiplication:
$\frac{a^2}{x}-\frac{b^2}{y}=0$
$\frac{{(a}^{2}b)}{x}+\frac{b^{2}a}{y}=a+b,$ $x,y\ne 0$

Solve the following system of equations by the method of cross multiplication.
$mx-ny=m^2+n^2$
$x+y=2m$

Solve each of the following systems of equations by the method of cross-multiplication :

$\frac{ax}{b}-\frac{by}{a}=a+b$

$ax-by=2ab$

Solve the following system of equation by the method of cross-multiplication:
$\left(\frac{b}{a}\right)x+\left(\frac{a}{b}\right)y=a^2+b^2$
$x+y=2ab$