Complete steps a. Through e. To determine which pair of equations form a system with one solution, no solution, or infinite solutions.

a.

1. y = 5x - 4
2. y = -2x + 3
3. y = 3x + 1
4. y = 3x + 1 (Dividing by 2 to get y alone)
5. y = 5x + 2 (Adding 5x to both sides)
6. y = 4x - 1 (Subtracting 1 from both sides)
7. y = 5x

b. Based on the equations above, we can see that they are all in the format y = mx + b.

c. Next, we will pair the equations in order to solve for x and y.

1 & 2:
5x - 4 = -2x + 3
7x = 7
x = 1
Substitute x = 1 into equation 1:
y = 5(1) - 4
y = 5 - 4
y = 1

Equation 1 and 2 have a unique solution (1, 1).

3 & 4:
3x + 1 = 3x + 1
These equations are the same, so they have infinite solutions.

5 & 6:
5x + 2 = 4x - 1
x = -3
Substitute x = -3 into equation 5:
y = 5(-3) + 2
y = -15 + 2
y = -13

Equation 5 and 6 have a unique solution (-3, -13).

7. This equation is y = 5x, representing a line with an infinite number of points and thus infinite solutions.

Therefore, based on the pairs of equations compared:
1. Equation 1 and 2 have one solution.
2. Equation 3 and 4 have infinite solutions.
3. Equation 5 and 6 have one solution.
4. Equation 7 has infinite solutions.