Question

solve the following pair of linear equations by the substitution method
2x+3y=1
x+7y=3​

Answer 1

Step-by-step explanation:

from equation 2

x+7y=3

x=3-7y

putting th valueof x in equation 1

2(3-7y)+3y=1

6-14y+3y=1

6-11y=1

-11y=1-6

11y=5

y=5/11

Answer 2

S O L U T I O N :

By using Substitution Method :

• 2x + 3y = 1............(1)
• x + 7y = 3.............(2)

From equation (2), we get;

➛ x + 7y = 3

➛ x = 3 - 7y...............(3)

Putting the value of x in equation (1), we get;

➛ 2(3 - 7y) + 3y = 1

➛ 6 - 14y + 3y = 1

➛ 6 - 11y = 1

➛ -11y = 1 - 6

➛ -11y = -5

➛ 11y = 5

➛ y = 5/11

Putting the value of y in equation (3), we get;

➛ x = 3 - 7 × 5/11

➛ x = 3 - 35/11

➛ x = 33 - 35/11

➛ x = -2/11

Thus,

The value of x will be -2/11 & y will be 5/11 .