Question

Consider the systems of linear equations in the table below.

Identify which system has no solution. Then, graph and label the equations for that system on the coordinate plane.

Answer 1

Explanation:

no solution is when numbers on either side of the equal sign are different

have both equations in each system look like

y = ....

then since both are equal to y

have both equations equal to each other to get the value of

x

system 1:

6x+3=6x+3

0=0

infinite

system 2:

1/2x-5= -2x-4

5/2x=1

x=2/5

one solution

system3

4y-x= -4

y=(x-4)/4= 1/4x-1

1/4x-1= 1/4x-1

infinte

system4:

1/2x=1/2x+3

0 does not equal 3

no solution

graph is in the attached picture

both equations are parallel to each other

virtual nerd