Intro to Solving Systems of Equations

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

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE

• FALSE

These two lines intersect at _____.

• (4, -2)

• (4, 2)

• (-2, 4) 

• No solution

The solution is:

• (4, 3)

• (3, 4)

• (-4, 3)

• No solution

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-1, 4)

• (1, -4)

• (-4, 1)

• (4, -1)

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

This system has _____ solutions

• 0

• 1

• 2

• Infinitely many

What is the solution?

• One Solution

• No solution

• Infinitely Many Solutions

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe.