Question
5x – 3y = 11 and - 10x + 6y = - 22
- Consistent
- Inconsistent
- Intersecting
- Perpendicular to each other
Hint:
There are countless possible answers for a system of linear equations. The number that makes every equation in a system of linear equations true is the system's solution. The answers to the two variables in the two equations will be these points' coordinates.
In this question we have asked that given set of equations 5x – 3y = 11 and - 10x + 6y = - 22 are Consistent, Inconsistent, Intersecting or Perpendicular to each other.
The correct answer is: Consistent
There is only one solution to the two linear equations if both lines intersect at a single location.
We have given the equations as: 5x – 3y = 11 and - 10x + 6y = - 22.
Comparing both the equations with a1, b1, c1 and a2, b2, c2, we get:
a1=5, b1=-3, c1=11
a2=-10, b2=6, c2=-22
Now equating then, we get:
So these are coincident lines which have infinitely many solutions.
Therefore the system is consistent.
Here in this question we were given two equations 5x – 3y = 11 and - 10x + 6y = - 22, where we were supposed to find the system is consistent or not so using the system of linear equations, we found that the system is consistent.
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