Question

Find the solution of the given pair of linear equations by graphical method: (¡)x+2y=6. ( ¡¡ ) x+y=5​

Answer 1

`x + 2y = 6 \: \: ...(i)\\ \\ x + y = 5 \: \: ...(ii)`

from eq (ii)

`x + y = 5 \\ \\ x = 5 - y \: \: ...(iii)`

putting the value of x in eq (i)

`x + 2y = 6 \\ \\ (5 - y) + 2y = 6 \\ \\ 5 - y + 2y = 6 \\ \\ 5 + y = 6 \\ \\ y = 6 - 5 \\ \\ y = 1.`

so , putting the value of y in eq (iii)

`x = 5 - y \\ \\ x = 5 - 1 \\ \\ x = 4.`

The value of x = 4 and y = 1 .

Answer 2

• Value of x is 4
• Value of y is 1

Step-by-step Step-by-step explanation :

Here we have been provided with two equations and we have to solve them by elimination method and calculate the value of x and y.

• x + 2y = 6 (Equation No 1)
• x + y = 5 (Equation No 2)

★ From Equation No 2 :

>> x + y = 5

>> x = 5 - y

★ In Equation No 1 :

Substituting the value of x which we got above as (5 - y) here.

>> x + 2y = 6

>> (5 - y) + 2y = 6

>> 5 - y + 2y = 6

>> 5 + y = 6

>> y = 6 - 5

>> y = 1

★ Finding out value of x :

>> x = 5 - y

>> x = 5 - 1

>> x = 4