please help

[near furnace]

don't i need to make a graph or something cause i want to know how you got those answers please

[primal tendon]

@clever cove aren’t we supposed to give help, not answers?

[clever cove]

oh, i see

[clever cove]

1. solution
   Example:
   Equation 1: y =2x +1
   equation 2: y = 2x -3

Why?
These two lines have the same slope (2), but different y-intercepts (1 and -3).
That means they are parallel lines.
Parallel lines never touch, so they have no solution.

Graph Description:
Two lines going up at the same angle but never touching. One is shifted higher or lower.

2. Dependen System
   Example:
   Equation 1: y = -x + 2
   Equation 2: 2y = -2x + 4

3. Independent System
   Example:
   Equation 1: y=x+1
   Equation 2: y=−x+3

i hope this hepls you

[near furnace]

so just to clearify the answer is

1.For an inconsistent system of linear equations in two variables, the lines representing the equations intersect at no point.

2.In a dependent system of linear equations in two variables, the lines representing the equations intersect at infinitely many points.

3.In an independent system of linear equations in two variables, the lines representing the equations intersect at one point.

right ?

[near furnace]

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