solutions of and Solving Systems of Equations

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

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions
• (3, 3)
• (3, -3)
• (-3, 3)

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

• Parallel lines
• the same line 
• 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. 

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

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

• intersecting lines
• parallel lines
• skew lines
• the same line (coinciding lines)

If a system of equations has infinitely many solutions, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• the same line (coinciding lines)

Is (1,7) a solution for

y=3x+4

y=x+6

• yes

• no

Parallel Lines never intersect because...

• they have the same slopes and different y intercepts.

• they have the same slope and same y-intercept.

• they have different slopes.

• they have different slopes with the same y-intercepts.