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pizzacrust476 pizzacrust476
  • 06-02-2017
  • Mathematics
Answered

How many solutions exist for the system of equations below? 3x+y=18 3x+y=16

Verified Answer :

wolf1728
wolf1728 wolf1728
  • 06-02-2017

A) 3x+y=18
B) 3x+y=16

These equations are inconsistent and have no solutions.  If these equations were graphed, it would be two parallel lines.

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calculista
calculista calculista
  • 11-10-2018

we have

\(3x+y=18\) -------> equation \(1\)

solve for y

\(y=-3x+18\)

The slope \(m=-3\)

\(3x+y=16\) -------> equation \(2\)

solve for y

\(y=-3x+6\)

The slope \(m=-3\)

The two slopes are the same, so the lines are parallel.

therefore

It's an inconsistent system of equations that has no solution.

the answer is

The system has no solution


Answer Link

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