For the given set of linear equations, x - 2y = 2 and 3x - 6y = 0 , what kind of solution do they have?Unique solutionNo solutionInfinite solutionsTwo solutions
Question
For the given set of linear equations, x - 2y = 2 and 3x - 6y = 0 , what kind of solution do they have?Unique solutionNo solutionInfinite solutionsTwo solutions
Solution
The given set of linear equations is:
- x - 2y = 2
- 3x - 6y = 0
First, let's simplify the second equation by dividing it by 3:
x - 2y = 0
Now, we can see that the two equations are:
- x - 2y = 2
- x - 2y = 0
These two equations are parallel lines because they have the same coefficients for x and y. However, they have different constant terms on the right side of the equation (2 and 0). Therefore, these two lines will never intersect.
So, the given set of linear equations has no solution.
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