Question

Solve these simultaneous equations
X+y= 2xy and x-y = 6xy

Answer 1

Answer:

❤️_❤️

here... IS ur aNS... MaTe___✌️

$x + y = 2xy \\ x - y = 6xy \\ 2x = 8xy \\ y = 1 \div 4 \\ x = - 1 \div 2$

Plz... Follow mE___❤️❤️

Answer 2

x + y = 2xy .............(1)

x - y = 6xy .............(2)

Divide eqⁿ (1) and (2) by (xy) on both sides;

$\frac{x}{xy}+\frac{y}{xy}=\frac{2xy}{xy} \\\\\frac{1}{y}+\frac{1}{x}=2.......(3)\\\\\frac{x}{xy} -\frac{y}{xy}=\frac{6xy}{xy}\\ \\\frac{1}{y}-\frac{1}{x}=6..........(4)$

Adding eqⁿ (3) and (4);

$\frac{1}{y}+\frac{1}{y}=2+6\\ \\\frac{2}{y}=8\\\\y=\frac{1}{4}$

Put this value of y in eqⁿ (3);

$\frac{1}{y}+\frac{1}{x}=2 \\\\4+\frac{1}{x}=2\\\\x=\frac{-1}{2}$