Hi,

solve the system y=2x+1 and y-2x=5 by substitution

y=2x+1 

y-2x=5  Substituting for y

(2x + 1)-2x = 5

1 ≠ 5  there is NO solution for this system

Note: the lines are parallel, both with slopes = 2

y = 2x+1  and y = 2x + 5

 

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