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.