Question

solve the equation 2x-y =10, x+2y=10​

Answer 1

$2x - y = 10 \\ 2x = 10 + y \\ ㅤㅤㅤㅤㅤㅤx = \frac{10 + y}{2} \: \: \: \: \: \: \: \: \: .... (1)$

$x + 2y = 10 \: \: \: \: ...(2)$

put Value x In Equation ( 2 )

$\frac{10 + y}{2} + 2y = 10 \\ \frac{10 + y + 4y}{2} = 10 \\ 10 + 5y = 20 \\ 5y = 20 - 10 \\ 5y = 10 \\ y = \cancel\frac{10}{5} \\ \boxed{y = 2}$

Put Y = 2 In Equation( 1 )

$x = \frac{10 + 2}{2} \\ x = \cancel \frac{12}{2} \\ \boxed{ x = 6}$

$\therefore \: \large{ answer} = (x,y) = (6,2)$

Answer 2

Question :

1. solve the equation 2x-y =10, x+2y=10

Answer :

2x - y = 10×1

x + 2y = 10×2

______________

make x or y equal. im doing x

2x - y = 10

2x + 4y = 20 ( change symbols of 2nd equ )

+2x - y = 10

-2x - 4y = - 20

_____________

-5y = -10

y = -10/-5

y = 2 ( - will be cancel )( substitute y value in 1st equ )

2x -(+2) = 10

2x - 2 = 10

2x = 10 + 2

2x = 12

x = 12 / 2

x = 6