What is a possible solution to the system ?
`y=x^(2)+3x+2`
`x=(1)/(2)y-2`

Options

A. `(-1,2)`
B. (0, 4)
C. (0, 2)
D. (1, 6)

Answer

D

Explanation

This type of problem can be solved by the substitution method for simultaneous equations. An efficient alternative method is first to solve each equation for y and then graph the two functions on a graphing calculator. You can then the Instersect function to solve the system, arriving at the points (1, 6) and `(-2, 0)`. Choice (D) names one of these. To solve the following volume problem, you can use the cube root, or `root(y)(x)`, key on the calculator. If your calculator does not have this key, remember that you can use the power key and enter the exponent of `(1)/(3)`.