Question

How many solutions have the pair of linear equations x + 2y – 4 = 0 and 2x + 4y – 12 = 0 ?
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Answer 1

Answer:

20 The pair of linear equations x + 2y - 4 =0, 2x + 4y -12 = 0 has solutions.

Step-by-step explanation:

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Answer 2

Concept

Lines in a plane that are always the same distance apart are called parallel lines. Parallel lines do not cross.

Given

Pair of linear equations x + 2y – 4 = 0 and 2x + 4y – 12 = 0.

Find

We are asked to explain how many solutions have the pair of linear equations x + 2y – 4 = 0 and 2x + 4y – 12 = 0.

Solution

By considering the given equations

$x+2y-4=0$

We can take outside 2 common from the second equation, we get

$2(x+2y-6)=0\\x+2y-6=0$

We can see coefficient of x and y are same in both the equations but constant differs  therefore the given lines are parallel lines and there are no solutions

Hence there is no solution of linear equations x + 2y – 4 = 0 and 2x + 4y – 12 = 0.