Solve the system by substitution.

y=x-2

y=4x+1

Since  y = x-2 in the first equation, substitute this for y in the second equation...so we have...

x-2 = 4x+1     add 2 ro both sides and subtract 4x from both sides

-3x = 3         divide both sides by -3

x = -1           to find y, substitute -1 for x in either equation....so we have, using the first equation....

y = -1-2  = -3     ......so our solution is.......

(-1,-3)