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A solution to a system of equations are where the two lines cross over each other.
System A the graph shows one line which means the two lines are on top of each other. This means any point on the lines are a solution so there are infinite number of solutions.
System B, the lines cross at one point is there is only one solution which is at (-3,2)
System C the two lines are parallel to each other and never cross so there are no solutions.
Step-by-step explanation:
(i) Infinite solution
If there is only one line then it is a infinite solution.
(ii) One solution
Both are intersecting each other.
Solving
-x - 1 = x + 5
-x - x = 5 + 1
-2x = 6
x = 6/-2
x = -3
y = -x + 5
y = -3 + 5
y = 2
(iii) No solution
Because they are parallel to each other