Solving pairs of linear equations in two variables

• No Solution

• Infinite Solutions

• (0, 0)

Answer explanation

Based on the equations for each line, determine how many solutions the system would have. (Graph the system to show work.)

y=-3x+2

y=-3x+2

• Infinite Number of Solutions

• No Solution

• One Solution

 $2x\ +\ 4y\ =\ -4$  

 $-2x\ -\ 2y\ =\ 4\ \ \ \ \ \ \$  

• No Solution

•  $(-2,4)$  

•  $(-2,-4)$  

•  $(6,4)$  

How would you describe the slope and y-intercepts of a system of equations with infinitely many solutions?

• same slope, different y intercept

• same slope, same y intercept

• different slope, different y intercept

• different slope, same y intercept

What type of solution does this system have?

2y - 3x = -6

-6y + 9x = 15

• One solution

• No solution

• Infinite solutions

How many solutions can a linear equation in two variables have?

• two

• zero

• infinite

• three

Identify each of the following system of linear equations as having no solution, one solution, or infinitely many solutions.
 $6x+2y=9$  
 $2x-4y=2$  

• one solution

• no solutions

• infinitely many solutions

• two solutions

A system of linear equations is shown.

-3x + y = K

2x + 3y = L

Which system has the same solution as the system shown?

• -9x + 3y = -3K

  2x + 3y = L

• 6x-2y = -2K

  2x + 3y = L

• -3x + y = K

  3x+4.5y = L

• -3x+y = K

  -8x - 12y = L

Tags

A.REI.5

Parallel Lines have how many solutions?

• One Solution

• Infinitely Many Solutions

• No Solutions

• As many solutions as you want

What is Infinite Solutions?

• When the equations are the same

• When the lines are straight

• When the lines are parallel