Question

check whether the following pair of linear equations is consistent or inconsistent? If consistent obtain the solution graphically
x+y=5
2x-2y=10​

Answer 1

Answer:

Check whether the pair of equations 2x+y-5=0,3x-2y-4=0are consistent or inconsistent graphically, find the solution if ...

Answer 2

The lines are coincident and the pair of equations is dependent and consistent.

Step-by-step explanation:

We are given the following in the question:

\begin{lgathered}x+y=5\\2x+2y=10\end{lgathered}

x+y=5

2x+2y=10

Writing the equation in general form:

\begin{lgathered}x+y-5=0\\2x+2y-10=0\end{lgathered}

x+y−5=0

2x+2y−10=0

Condition for consistency:

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

a

2

a

1

=

b

2

b

1

=

c

2

c

1

Putting values, we get,

\dfrac{1}{2} = \dfrac{1}{2}=\dfrac{-5}{-10}

2

1

=

2

1

=

−10

−5

Thus, the lines are coincident and the pair of equations is dependent and consistent.

The, lines have infinitely many solutions.

The graph is attached.

#LearnMore

Check whether the pair of equations 2x+y-5=0,3x-2y-4=0are consistent or inconsistent graphically, find the solution if the equation are consistent

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