Part 1: Provide a system of TWO equations in slope-intercept form, with only one solution. Using complete sentences, explain why this system has one solution.

Part 2: Provide a system of TWO equations in slope-intercept form with no solutions. Using complete sentences, explain why this system has no solutions.

Part 3: Provide a system of TWO equations in slope-intercept form with infinitely many solutions. Using complete sentences, explain why this system has infinitely many solutions.

Question

Part 1: Provide a system of TWO equations in slope-intercept form, with only one solution. Using complete sentences, explain why this system has one solution.

Part 2: Provide a system of TWO equations in slope-intercept form with no solutions. Using complete sentences, explain why this system has no solutions.

Part 3: Provide a system of TWO equations in slope-intercept form with infinitely many solutions. Using complete sentences, explain why this system has infinitely many solutions.

anonymous · Answer

y = mx + b      y = 3x + 1        y = -3x + 7

anonymous · Answer

this system has one solution because it has just one point of interception.
If you solve the system you get  x = 1  ,  y = 4

anonymous · Answer

ok

anonymous · Answer

part 2:  y = 2x+ 2           y = 2x + 3

anonymous · Answer

This system has no solutions because they represents parallel lines so they never intersect

anonymous · Answer

ok

anonymous · Answer

part 3 :   2y = 2x + 8            y = x + 4

anonymous · Answer

This system has infinitely many solutions because both equations represent the same line.

anonymous · Answer

well It was a pleasure to help you
Saludos desde Perú

anonymous · Answer

thank you