1. y = 5x - 4
2. y = -2x + 3
3. y = 3x + 1
Equations 1, 2, and 3 each have unique slopes and y-intercepts, indicating they each have one solution.
c. Compare equation 4 with equations 1-3:
4. y = 3x/2 + 1
Equation 4 has a different slope compared to equations 1-3, indicating one solution.
d. Compare equation 5 with equations 1-3:
5. y = 5x + 2
Equation 5 has the same slope as equation 1, but different y-intercept, suggesting no solution.
e. Compare equation 6 with equations 1-3:
6. y = 4x + 1
Equation 6 has a different slope compared to equations 1-3, indicating one solution.
Therefore, equations 1, 2, and 3 have one solution, equation 4 has one solution, equation 5 has no solution, and equation 6 has one solution.
c. Circle the two equations that form a system with infinite solutions.
d. Put a square around the two equations that form a system with no solution.
e. Underline the two equations that form a system with one solution.
c. The two equations that form a system with infinite solutions are y = 5x - 4 and y = 5x + 2.
d. The two equations that form a system with no solution are y = -2x + 3 and y = 5x + 2.
e. The two equations that form a system with one solution are y = -2x + 3 and y = 3x + 1.