1) Write whether the following pair of linear equation is consistent or not. Mention the
type of lines formed.
x+y=14
x-y=4
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Answer:
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Answered by
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The pair of given linear equations is pair of linear equation .
Step-by-step explanation:
The given pair of linear equations are
x+y=14x+y=14
x-y=4x−y=4
Two linear lines are consistent if
\frac{a_1}{a_2}\neq\frac{b_1}{b_2}
a
2
a
1
≠
b
2
b
1
For the given pair of linear equations,
\frac{a_1}{a_2}=\frac{1}{1}=1
a
2
a
1
=
1
1
=1
\frac{b_1}{b_2}=\frac{1}{-1}=-1
b
2
b
1
=
−1
1
=−1
Since 1\neq -11≠−1 , therefore the system of equations has unique solution.
Thus, the pair of given linear equations is pair of linear equation .
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