Answer:
Ravi and Courtney have the same equation so they will have infinetely many solutions.
Step-by-step explanation:
Step 1: Solve each equation for y
Penny → [tex]2x - y = 1[/tex]
→ [tex]-y + 2x - 2x = 1 - 2x[/tex]
→ [tex](-y) * -1 = (1 - 2x) * -1[/tex]
→ [tex]y = 2x - 1[/tex]
Ravi → [tex]2x + 3y = 3[/tex]
→ [tex]3y + 2x - 2x = 3 - 2x[/tex]
→ [tex](3y)/3 = (3 - 2x)/3[/tex]
→ [tex]y = -2/3x + 1[/tex]
Courtney → [tex]-4x - 6y = -6[/tex]
→ [tex]-6y - 4x + 4x = -6 + 4x[/tex]
→ [tex](-6y)/-6 = (-6 + 4x)/-6[/tex]
→ [tex]y = -2/3x + 1[/tex]
Edwin → [tex]6x + 6y = 9[/tex]
→ [tex]6y + 6x - 6x = 9 - 6x[/tex]
→ [tex](6y)/6 = (9 - 6x)/6[/tex]
→ [tex]y = -x + 1.5[/tex]
Answer: Ravi and Courtney have the same equation so they will have infinetely many solutions.
