Question

An equation is shown below:

7x + y = 5

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. (2 points)

Answer 1

Part A: Explain how you will show all of the solutions that satisfy this equation. (4 points)
............
............Rewrite the equation as
............y = -7x + 5
............
............The solutions for this equation are all the points that form
............the straight line that passes through (0,5) and (1,-2)...............ANS

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

............(0,5).................ANS
............(1,-2)................ANS
............(2,-9)................ANS

Part C: Write an equation that can be paired with the given equation in order to form a system of equations that is inconsistent. (2 points)

............An inconsistent system of equations consists of one or more parallel lines.
............That means that the slope of the other line(s) will always be the same, but
............the other lines will have a different y-intercept.
............
............y = -7x + 5
............y = -7x + 6..............ANS

Answer 2

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