Question

solve the following simultaneous equations​

Answer 1

Given

• 20x+2y= 10
• 12x+6y=6

To Find

• The Value of x and y

let

20x+2y= 10 –——— (1)

12x+6y=6 ————(2)

on solving Equation 1

$~~~~~~~~:~~\implies\sf 20x+2y= 10$

$~~~~~~~~:~~\implies\sf 2y=10-20x$

$~~~~~~~~:~~\implies\sf y= \dfrac{10-20x}{2}$

$~~~~~~~~:~~\implies\sf y= \dfrac{2(5 - 10x)}{2}$

$~~~~~~~~:~~\implies\sf y= 5 - 10x$

On substituting the y in Equation 2

$~~~~~~~~:~~\implies\sf 12x+6y=6$

$~~~~~~~~:~~\implies\sf 12x+6(5 - 10x)=6$

$~~~~~~~~:~~\implies\sf 12x+30 - 60x=6$

$~~~~~~~~:~~\implies\sf - 48x=6 - 30$

$~~~~~~~~:~~\implies\sf - 48x= - 24$

$~~~~~~~~:~~\implies\sf 2x= 1$

$~~~~~~~~:~~\implies\sf x= \dfrac{1}{2}$

Putting x= 1/2 in y= 5-10x

$~~~~~~~~:~~\implies\sf y= 5-10 \times \dfrac{1}{2}$

$~~~~~~~~:~~\implies\sf y= 5-5$

$~~~~~~~~:~~\implies\sf y= 0$

Hance The Value of x and y is 1/2 and 0