Question

Check whether pair of linear equations x+y=5 and 2x+y=10are consistent
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Answer 1

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Step-by-step explanation:

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Answer 2

(i) 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

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