Question

x+y=5, 2x+2y=10 which of the following pairs of linear equations are consistent/inconsistent?if consistent​ obtain the solution graphically​

Answer 1

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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:

$x+y=5\\2x+2y=10$

Writing the equation in general form:

$x+y-5=0\\2x+2y-10=0$

Condition for consistency:

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

Putting values, we get,

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

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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