Question

Ill Medaaaaalllll!!!
How many solutions does the system of equations have?
http://lv.k12.com/mediaFiles/Ninth_Grade/Math/Unit17526/Lesson68681/VHS_PA_S2_02_L312_Q1.gif

A.
The system has exactly one solution.

B.
The system has infinitely many solutions.

C.
The system has no solution.

Answer 1

4x + 4y = 8 -- divide everything by 4
x + y = 2

this is the same as the other equation, therefore, the line are coincident (same line)...meaning they have INFINITE SOLUTIONS

Answer 2

Can you explain how to read these equations?

Answer 3

well....if a line can reduce...reduce it. If it matches the other equation exactly, it has infinite solutions.

if the lines have the same slope, but different y intercepts, then the line is parallel and has no solutions.

if the lines have different slopes and different y intercepts, then the line will have 1 solution.

Answer 4

does that help ?

Answer 5

Yeah :)
Thanks

Answer 6

sure thing :)

Answer 7

have you taken the unit 6 lesson 9 quiz?

Answer 8

@Saracox11 The number properties unit quiz?
Yeah

Answer 9

what grade are you in? im in 9th.

Answer 10

@Saracox11
Im in 7th

Answer 11

ohh okay never mind

Answer 12

@Saracox11
Ok :)