Question

For the three-part questionnaire files, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of response as part a, part B, and part C.

Answer 1

ANSWERS

• PART A,: ,the graph of the first equation is wrong

,

• PART B,: ,(6/5, 9/5)

,

• PART C,: ,see explanation

Step-by-step explanation

PART A

The mistake Hunter did was graphing the first equation, in blue. The y-intercept is 3, that is correct, but the slope is -1, so the line is wrong,

This means that (2, 5) is not the solution of the system.

PART B

The solution of this system is found easier with another method. Using the substitution method, we can substitute the second equation in the first equation,

`x+(4x-3)=3`

Add like terms,

`5x-3=3`

Add 3 to both sides,

`\begin{gathered} 5x-3+3=3+3 \\ 5x=6 \end{gathered}`

And divide both sides by 5,

`x=(6)/(5)`

Now, replace x with 6/5 in the second equation to find y,

`y=4\cdot(6)/(5)-3=(24)/(5)-3=(9)/(5)`

Hence, the solution is (6/5, 9/5).

PART C

The solution to a system of equations is the point where the two graphs of the functions intersect, so they have the same value.

To use a table, we would complete the same table for a series of values of x, then complete with the values of y for each function. The solution to the system will be when both functions have the same value for the same x-value.