Linear Equations Solving and Graphing

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

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

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

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

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

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

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

What is true when solving systems of equations by graphing?

• A set of two linear equations can have two answers

• You don't need to give the ordered pair

• The solution is where the two lines intersect

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 is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Solve:
y=8x+1
y=6x+3

• (1, 9)

• (4, 14)

• (0, 1)

• (2, 4)

a method to solving a system of equations using the coordinate grid 

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing