Question

Graph y = + 2 and y = 3x on the same set of coordinate axes. Use the graphs to find the exact solutions to the equation + 2 = 3x. Then, find the solutions using an algebraic method.

Answer 1

For this case we have the following functions:
 $y = 2 y = 3x$
 To find the algebraic solution we must equal both equations.
 We have then:
 $2 = 3x$
 Clearing x we have:
 $x = 2/3$
 Then, the ordered pair solution is:
 $(x, y) = (2/3, 2)$
 Answer:
 (x, y) = (2/3, 2)
 See attached image.