How Many Solutions System

Determine whether the following systems of linear equations have no solution, one solution or infinitely many solutions.

• no solution

• 1 solution

• Infinitely many solutions

How many solutions does this system have?

3y = -2x + 10

3y = -2x − 1

• One solution

• No solutions

• Infinitely many solutions

How many solutions does this system have?

• One solution

• No solutions

• Infinitely many solutions

How many solutions does this system have?

y = 4x + 8

y = 5x + 1

• One solution

• No solutions

• Infinitely many solutions

Tell whether the systme of equations has one, no, or infinite solutions.

y = 3x - 9

y = 3(x - 3)

• one

• no solutions

• infinite solutions

Tell whether the system of equations has one, no, or infinite solutions.

y = 2x + 1

y = 2x - 1

• No Solution

• one solution

• Infinitely Many Solutions

Tell whether the systme of equations has one, no, or infinite solutions.

y = 3x + 15

y = 2x + 15

• No Solution

• one solution

• Infinitely Many Solutions

Tell whether the system of equations has one, no, or infinite solutions.

y = 4 - 2x

y = 2x - 4

• one solution

• no solution

• infinite solutions

Tell whether the system of equations has one, no, or infinite solutions.

y = 4x + 1

y = 5x

• one solution

• no solution

• infinite solutions

Tell whether the systme of equations has one, no, or infinite solutions.

y = 7x - 4

y = 7x + 12

• one solution

• no solution

• infinite solutions