Question

which of the following pair of linear equation are consistent / inconsistent? if consistent obtain the solution graphically x+4y=3, 3x-2y=3​

Answer 1

Answer:

) x+y=5 ...(i)

2x+2y=10 ...(ii)

⇒x+y=5

⇒y=5−x

x 0 3

y 5 2

Plot (0,5) and (3,5) on graph and join them to get equation x+y=5.

2x+2y=10

⇒2y=(10−2x)

⇒y=

2

10−2x

=5−x ...(iii)

x 5 2

y 0 3

So, the equation is consistent and has infinitely many solution

(ii) x−y=8 ....(i)

3x−3y=16 ....(ii)

⇒x−y=8

⇒−x+y=−8

⇒y=−8+x

⇒y=x−8