Question

X+2y=9 ; 2x-y=8 ( solve the following pair of linear equation in any method)

Answer 1

Answer:

x+2y=9  equation 1

2x-y=8

x=9-2y

2(9-2y)-y=8

18-4y-y=8

18-5y=8

5y=10

y=10/5=2

x+4=9

x=5

Therefore value of x is 5 and y is 4

Step-by-step explanation:

Answer 2

Step-by-step explanation:

$\tt x + 2y = 9 \quad \quad \cdots(1)$

$\tt 2x - y = 8\quad \quad \cdots(2)$

$\tt \: x = 9 - 2y\quad \quad \cdots(3)$

$\tt Putting \: the \: value \: of \: Equation \: 3 \: in \: 2,$

$\tt \: 2(9 - 2y) - y = 8$

$\tt \: 18 - 4y - y = 8$

$\sf18 - 5y = 8$

$\sf \: 18 - 8 = 5y$

$\sf10 = 5y$

$\sf \: y = 2$

Putting the value of y in 3,

$\sf \: x = 9 - 2 \times 2$

$\sf \: x = 9 - 4$

$\sf \: x = 5$