Question

Find weather the following pair of linear equations is consistent or inconsistent x+3y=5, 2x+6y=8

Answer 1

GIVEN :

Find whether the pair of linear equations is consistent or inconsistent x+3y=5, 2x+6y=8

TO FIND :

The given pair of linear equations x+3y=5, 2x+6y=8 is consistent or inconsistent

SOLUTION :

Given equations are

x+3y=5  ------ (1)

2x+6y=8 -------- (2)

Multiply the equation (1) into (2) we get,

2x+6y=10 -------- (3)

Comparing the equations (2) and (3)

2x+6y-8=2x+6y-10

-8=-10

$8\neq 10$

Hence the given equations has no solutions.

∴ the given  pair of linear equations is inconsistent.

Answer 2

Step-by-step explanation:

Given equations are

x+3y=5 ------ (1)

2x+6y=8 -------- (2)

Multiply the equation (1) into (2) we get,

2x+6y=10 -------- (3)

Comparing the equations (2) and (3)

2x+6y-8=2x+6y-10

-8=-10

8\neq 108



=10

Hence the given equations has no solutions.