Graphing Simultaneous Equations

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

• (3, -1)

• (-1, -3)

• (-1, -1)

• (-1, 3)

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist

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

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

• Parallel lines

• the same line

• Intersecting lines

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

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Solve for x and y by using the substitution method. 3x + 2y = 16 y = -7x + 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Give the solution for the simultaneous equations.

• (-2, -2)

• (2, -2)

• (-2 ,2)

• (2, 2)

The image represents two equations that have come from which worded problem?:

• Find two numbers whose sum is 10 and whose difference is 4.

• Find two numbers that equal 7 and when divided equal 3.

• Find two numbers whose difference is 10 and whose sum is 4.

• Find three numbers whose sum is 4 and difference is 10.