Question

An equation is shown below:
9x - y = -2

Part A: Explain how you will show all of the solutions that satisfy this equation. (4 points)

Part B: Determine three different solutions for this equation. (4 points)

Part C: Write an equation that can be paired with the given equation in order to form a system of equations that is inconsistent

Answer 1

^ is that for part B?

Answer 2

solutions to the equation 9x - y = -2

Answer 3

For part B), pick any three values for x, put it in equation (1) and find the corresponding y.
For example, if x = 2, then from equation (1): y = 9x + 2 = 9(2) + 2 = 18+2 = 20
Therefore, x = 2 and y = 20 is one solution.
You can pick two more values for x and find the corresponding y values.

Answer 4

For part C) we need to come up with an equation that when paired with the given equation 9x - y = -2 becomes inconsistent. That can be easily done. For example, 9x - y = 5 is an equation that when paired up with 9x - y = -2 will be inconsistent because there is no x,y values that can simultaneously be 5 and -2 to satisfy both equations. Therefore, these two equations 9x - y = -2 and 9x - y = 5 will be inconsistent and there will be no solution to these pair of equations because no matter what value you give for x and y, the left hand side of both equations will be identical whereas the right hand side is -2 in the first equation and +5 in the second equation which cannot both be true.