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Sonja [21]
3 years ago
6

Determine the number of solutions to a system of equations.

Mathematics
1 answer:
babunello [35]3 years ago
7 0

Step-by-step explanation:

When we compare 2 system of equations (of the form y = mx + c), we take note of the following things:

  • If the values of m and c in both equations are the same, they have infinitely many solutions
  • If only the value of m is the same, they have no solutions
  • If neither is the same, they have 1 solution

Bearing this in mind, we have the following answers:

y = -6x - 2 and y = -6x - 2

=> Infinitely many solutions

y = 0.5x + 5 and y = 0.5x + 1

=> No solutions

y = 0.25x + 2 and y = 5x - 4

=> 1 solution

y = 2x + 3 and y = 4x - 1

=> 1 solution

y = 2x + 5 and y = 2x + 5

=> Infinitely many solutions

y = -x - 3 and y = -x + 3

=> No solutions

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