Solutions to Systems of Equations

How many solutions does the following system of linear equations have:

-3x + 3y = 12

y = x + 4

• The graphs of the equations are lines that intersect at one point because the equations have the same slope and same y-intercept The system has exactly one solution.

• The graphs of the equation are the same line because the equations have the same slope and same y-intercept. The system has infinitely many solutions.

• The graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. The system has exactly one solution.

• The graphs of the equations are parallel lines because they have the same slope but different y-intercepts. The system has no solution.

What is the correct description of the solution to the system?

y = 2x + 6

y-2x = 6

• No Solution

• Exactly one solution

• infinitely many solutions

What is the correct description of the solution to the system?

y + 4x = -4

2y = -8x -20

• No Solution

• Exactly one solution

• infinitely many solutions

How many solutions does the following system of linear equations have?

8x + 4y = 16

8x + 2y = 8

• infinite solutions

• no solution

• one solution

If the system of linear equations have the same slope and the same y intercept, how many solutions will it have?

• no solutions

• one solution

• infinite solutions

If the system of linear equations have the same slope and different y intercept, how many solutions will it have?

• no solutions

• one solution

• infinite solutions

Equations with different slope and same y intercept will have how many solutions?

• no solutions

• one solution

• infinite solutions

Equations with different slope and different y intercept will have how many solutions?

• no solutions

• one solution

• infinite solutions

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.7

CCSS.8.EE.C.8

Which system has an infinite number of solutions?

• y = 1/2 x

  y = 1/2x + 3

• y = -2x -4

  y = 1/2 x -5

• y = 6x +3

  6x = y - 3

• y = 1/4x - 1

  4y - x = -4