Which graph represents the solution for the equation 2/3x-2=-5x+1?

Answer 1

(2/3)x -2 =-5x +1

(5 2/3)x = 3

(17/3)x = 3

x = 3(3/17) = 9/17

the graph is a vertical line at x = 9/17 = slightly more than 1/2

UNLESS you really meant 2/(3x) -2 =-5x+1

then 2-6x =-15x^2 +3x

15x^2 -9x + 2 = 0

which is an upward opening parabola with y intercept = 2

OR maybe you meant 2/(3x-2) = -5x+1

then 2 = -15x^2 +13x -2

15x^2 -13x +4 which is another upward opening parabola with y intercept = 4