Question 1

Question

Examine the different equations below that follow:
1. y=5x-4
2. y=-2x+3
3. y=3x+1
4. 2y=6x+2
5. y-5x=2
6. y-4x+1=0
7. y=5x
Complete steps a. through e. To determine which pair of equations form a system with with one solution, no solution, or infinite solutions.
a. Solve each equation and make sure it is in y=mx+b format.
b. Graph all equations on a coordinate plane grid and label them.
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 solutions.
e. Underline the two equations that form a system with one solution

Answer 1

a.
1. y=5x-4
2. y=-2x+3
3. y=3x+1
4. y=3x+1
5. y=5x+2
6. y=4x-1
7. y=5x

b.
Equation 1: y=5x-4 (green line)
Equation 2: y=-2x+3 (blue line)
Equation 3: y=3x+1 (red line)
Equation 4: 2y=6x+2 (purple line)
Equation 5: y=5x+2 (orange line)
Equation 6: y=4x-1 (pink line)
Equation 7: y=5x (yellow line)

c. The pair of equations with infinite solutions are 6 and 7: y=4x-1 and y=5x
d. The pair of equations with no solutions are 1 and 5: y=5x-4 and y=5x+2
e. The pair of equations with one solution are 2 and 3: y=-2x+3 and y=3x+1