System of Linear Equations Graphing

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. 

What are the three methods we have learned to solve Systems of Equations?

• Graphing, Substitution, and Elimination

• Drawing, Consolidation, and Emancipation

• Reading, Revocation, and Fluctuation

• Radicalizing, Reformation, and Graduation

Find the solution:
2x-5y=15
3x+y=31

• (10,1)

• (13, -8)

• (-10,-7)

• No Solution

x + y = -3
y = x - 5

• (1, -4)

• (-1, 4)

• all solutions

• no solution

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

• intersecting lines

• parallel lines

• perpendicular lines

• coinciding lines

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

• Parallel lines

• coinciding lines 

• Intersecting lines

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Solve for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

This system has _____ solutions

• 0

• 1

• 2

• Infinitely many