Line r is twice line m. i.e. r = 2s which means that they are linearly dependent.
Therefore there are infinitely many solution to the given set of equations.
Answer:
C
Step-by-step explanation:
The answer simply has no solution. A solution of a system of equations is determined by how many times they intersect (with lines it will only ever have one or zero solution) and unless the angle is unnecessarily small in this question, its safe to say those line, no matter how far you go, will never have a solution.
Answer: (2,4) is a solution to this system
Step-by-step explanation:
The given system of equations is expressed as
y = 2x - - - - - - - - - - - 1
y = -1/2x + 5 - - - - - - - - - 2
The first step is to equate equation 1 to equation 2. It becomes
2x = - 1/2x + 5
The next step is to add - 1/2x to the left hand side and the right hand side of the equation. It becomes
2x + x/2 = - x/2 + x/2 + 5
(4x + 2)/2 = 5
The next step is to multiply the left hand side and the right hand side of the equation by 2. It becomes
(4x + 2)/2 × 2= 5 × 2
4x + 2 = 10
Subtracting 2 from the left hand side and the right hand side of the equation. It becomes
4x + 2 - 2 = 10 - 2
4x = 8
Dividing the left hand side and the right hand side of the equation by 4, It becomes
4x/4 = 8/4
x = 8/4 = 2
Substituting x = 2 into equation 1, it becomes
y = 2 × 2 = 4
