http://static.k12.com/calms_media/media/1513500_1514000/1513631/1/ec8c67cca51e651473151c79c0cd4dead4ee346d/MS_IMC-1400804-100523.jpg
How many solutions does this system of equations have?

A.
none

B.
exactly one

C.
exactly two

D.
infinitely many
@ganeshie8 @dan815 @iambatman @robtobey @nincompoop
@CrashOnce @dan815

Question

http://static.k12.com/calms_media/media/1513500_1514000/1513631/1/ec8c67cca51e651473151c79c0cd4dead4ee346d/MS_IMC-1400804-100523.jpg
How many solutions does this system of equations have?
  

 
 A.
none
 
 B.
exactly one
 
 C.
exactly two
 
 D.
infinitely many
@ganeshie8 @dan815 @iambatman @robtobey @nincompoop 
@CrashOnce @dan815

anonymous · Answer

As we can see in the equation that second equation is 2 times the first equation 2x+y = 1 4x +2y = 2 => 2(2x +y = 1) as both lines are same then the solution set will be infinite http://www.mathwarehouse.com/algebra/linear_equation/systems-of-equation/index.php

k_lynn · Answer

try using this graphing calculator. https://www.desmos.com/calculator I use it all the time. If you type your equations in, the calculator will graph it. And you can see if the lines overlap completely-infinitely many solutions intersect once-one solution don't intersect at all-no solutions. I'm going to type in your equations and then screenshot the results. Now can you tell how many solutions the lines have?