Consider this system of linear equations: y = - 3x 5 y = mx b which values of m and b will create a system of linear equations with no solution

No solution means that the lines are paralell and have differnt y intercepts

paralell means has same slope

y=mx+b

m=slope

b=yint

given equation is

y=-3x+5

slope=-3

yint=5

paralell so

y=-3x+b

wher b is any number except 5

example

y=-3x+4

y=-3x+√3

y=-3x-π

basically

m=-3

b=any number except 5