Solving Systems of Equations Using Ordered Pairs

How many solutions does this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

What is the solution to a system?

• It's the point where both lines intersect

• It's the y-intercept

• It's the ordered pair that makes both equations true

• It's the x-intercept

Solve using Substitution/Equal Values Method

(All answers must be ordered pairs in parenthesis with NO spaces! Use a period instead of a comma)

y = -4x + 5
y =  3x - 16

Mathematical Equivalence

OFF

Solve using Elimination.

(All answers must be ordered pairs in parenthesis with NO spaces! Use a period instead of a comma)

2x + 2y = -2

3x - 2y = 12

Mathematical Equivalence

ON

Which are methods for solving a system of equations? Select all that apply.

• Graphing

• Substitution

• Elimination

• Equal Values Method

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

• Intersecting lines

• same line

• Parallel lines

• skew lines

If a system of equations has one solution, what does the graph look like? 

• Intersecting lines

• same line

• Parallel lines

• skew lines

What is the solution to the system?

• (1, 1)

• (-1, -1)

• (-1, 1)

• (1, -1)

What is the solution to the system?

• No solution

• Infinite solutions

• (0, -4)

• (3, -3)

What is the solution to the system graphed?

• One solution

• No solutions

• Infinite solutions