Question

Determine ALL options that solve the equation: -5x+y=1

Answer 1

chooses are:
x=0 y=1
x=-2 y=9
x=-1 y=-4
x=-5 y=-24
x=1 y=6

Answer 2

plug them all in to see if they end up being 1 :)

Answer 3

just substitute a value for x from one of the options and see if the corresponding y value agrees with that given in the options.

for instance the first option. plug in x=0 into the equation -5(0)+y=1 so y=1, this agrees with the first option (x=0 y=1). so you know it is correct. You can do this for all the options. also a quick way of eliminating options is by looking at the signs, if x is greater than -1/5, y must be positive (by the rearranging the equation (y=1+5x)