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Which systems have infinite solutions? Check all that apply.
y = 0.5x + 2.75 and 2y = x + 2.75
y = 0.5x + 2.75 and y – 0.5x = 2.75
y = 0.5x + 2.75 and 0.5x + y = 2.75
y = 0.5x + 2.75 and y = 0.5(x + 5.5)
y = 0.5x + 2.75 and y = –2(–0.25x )+ 2.75

Respuesta :

shadowwiskers237

Answer:

the answers are y = 0.5x + 2.75 and y – 0.5x = 2.75

y = 0.5x + 2.75 and y = 0.5(x + 5.5)

y = 0.5x + 2.75 and y = –2(–0.25x )+ 2.75

Step-by-step explanation:

abidemiokin

Both equations y = 0.5x + 2.75 and y – 0.5x = 2.75 are equal hence these systems will have infinite solutions. Option B is correct

The system of equations that has an infinite number of solutions must be the same.

For option A;

  • y = 0.5x + 2.75 and 2y = x + 2.75

Rewite the second equation in slope-intercept form

  • 2y = x + 2.75
  • y = x/2 + 2.75/2
  • y = 0.5x + 1.375

Since both equations are not similar, hence this option is wrong.

For the second option y = 0.5x + 2.75 and y – 0.5x = 2.75

From the second equation  y - 0.5x = 2.75, this can be expressed as y = 0.5x + 2.75

Since both equations are equal hence these systems will have infinite solutions

Learn more on equations here: https://brainly.com/question/11966980

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