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Classify the system of equations and identify the number of solutions.
2x + y = 7
y + 5 = −2x
inconsistent, dependent; one
consistent, independent; one
inconsistent; none
consistent, dependent; infinite

Respuesta :

mhanifa

Answer:

  • C. Inconsistent; none

Step-by-step explanation:

Given system:

  • 2x + y = 7 ⇒ y = -2x + 7
  • y + 5 = -2x ⇒ y = -2x - 5

We observe that:

  • The slopes are same m = -2
  • The y-intercepts are different, b = 7 and b = - 5
  • The lines are parallel, so no solution

Correct choice is C

2x+y=7

  • y=-2x+7

y+5=-2x

  • y=-2x-5

Slopes are equal lines are parallel,no solutions

Option C

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