Approximating Solutions to Systems of Equations

What is the solution to the system?

• (-1, 3)

• (-3, 1)

• (3, -1)

• (-3, -1)

What is the number of solutions to the system of equations?

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

• 1 solution

• 2 Solutions

• No Solution

• Infinite Solutions

Find the solution(s) to the system.

• (0,-3)(1,-2)

• (0,-3)

• (-2,0)(2,0)

• No solution

How can you tell if a point is a solution to a system?

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Why will this system have infinite solutions?

• The equations are both negative.

• The equations are the same.

• They have the same y-intercept but not the same slope.

• They have the same slope but not the same y-intercept.