Question

The pair of equations, x = 0 and x = - 4 has
(A) a unique solution
(B) no solution
(C) infinitely many solutions
D) only solution (0, 0)
Please explain how.​

Answer 1

The given pair of equations  x=0 and x=-4 has No Solution.

Step-by-step explanation:

Given that the pair of equations are x=0 and x=-4

To find that the pair of equations has which solution :

• Since the pair of equations are x=0 and x=-4
• That is y - axis is 0
• From the the pair of equations x=0 and x=-4 we have that these equations must be parallel to y-axis

From x=0

• x+y=0 (here y=0)
• x+0=0

From x=-4

• x+y=-4  (here y=0)
• x+0=-4

• Therefore we have that the given pair of equations becomes x+y=0 (here y=0) and x+y=-4 (here y=0)
• They are parallel lines
• Therefore both the pair of equations x=0 and x=-4 are parallel equations

• Hence for parallel lines we have no point of intersection which means there is no solution for parallel lines

Therefore the option B) no solution is correct

Answer 2

Answer:

option (B)

Step-by-step explanation:

The correct answer for this question is option (B)

explanation is given above