Question

Pleeease help me. I need help with this one.

Answer 1

Ravi and Courtney

Explanation:

Simplifying the equations

Penny

• 2x - y = -1
• y = 2x + 1

Ravi

• 2x + 3y = 3
• 3y = -2x + 3
• y = -2/3x + 3

Courtney

• -4x - 6y = -6
• 6y = -4x + 6
• y = -2/3x + 3

Edwin

• 6x + 6y = 9
• 6y = -6x + 9
• y = -x + 9

Ravi and Courtney would have infinitely many solutions because they are the same equation.

Answer 2

Ravi and Courtney have the same equation so they will have infinetely many solutions.

Explanation:

Step 1: Solve each equation for y

Penny →
`2x - y = 1`

→
`-y + 2x - 2x = 1 - 2x`

→
`(-y) * -1 = (1 - 2x) * -1`

→
`y = 2x - 1`

Ravi →
`2x + 3y = 3`

→
`3y + 2x - 2x = 3 - 2x`

→
`(3y)/3 = (3 - 2x)/3`

→
`y = -2/3x + 1`

Courtney →
`-4x - 6y = -6`

→
`-6y - 4x + 4x = -6 + 4x`

→
`(-6y)/-6 = (-6 + 4x)/-6`

→
`y = -2/3x + 1`

Edwin →
`6x + 6y = 9`

→
`6y + 6x - 6x = 9 - 6x`

→
`(6y)/6 = (9 - 6x)/6`

→
`y = -x + 1.5`

Answer: Ravi and Courtney have the same equation so they will have infinetely many solutions.