Question
The lines that represent these two equations x+2y=5 and 4x+4y−6=0 meet at only one point (-2, 3.5). The pair of equations is
Answer: Option B
:
B
A pair of linear equations in two variables which has a solution, is said to beconsistent.
Here the lines representing the given linear equations are meeting only at point (-2, 3.5) giving a unique solution. Therefore, it isa consistent pair of linear equations.
Now, a pair of linear equations in two variables is said to be dependent when the lines representing them are coinciding i.e. will have many solutions.
Here, the lineshave only one solution (-2, 3.5). Therefore, they aren't dependent.
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:
B
A pair of linear equations in two variables which has a solution, is said to beconsistent.
Here the lines representing the given linear equations are meeting only at point (-2, 3.5) giving a unique solution. Therefore, it isa consistent pair of linear equations.
Now, a pair of linear equations in two variables is said to be dependent when the lines representing them are coinciding i.e. will have many solutions.
Here, the lineshave only one solution (-2, 3.5). Therefore, they aren't dependent.
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