Systems of Equations

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

• Run off the graph
• Don't touch
• Intersect
• Exist

Solve the system of equations by substitution.
y = -4x + 5
y =  3x - 16

• (-3, -25)
• (3,-7)
• (11, 17)
• (21, 47)

y = -6
-3x - 6y = 24

• (6, 6)
• (6, -6)
• (4, -6)
• (-6, 4)

Solve:
x = -3y - 17
2x + 3y = -7

• (1, -20)
• (3, 0)
• (-5, -2)
• (10 , -9)

2 or more linear equations with the same set of variables

• System
• System of Equations
• Linear Equations
• Quadratic Equations

a solution to a system of equations that results in no x or y value that will satisfy both equations

• No Solution
• One Solution
• Infinite Solutions
• Beyond Solutions

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

This system has _____ solutions

• No

• 1

• 2

• Infinitely many

What is the solution?

3x + 5y = 13

2x + y = 4

• Infinite solutions

• (2,1)

• (1,2)

• No solution

Solve the system:
3x + y = 19
2x - y = 6

• (5, 14)
• (4, 5)
• (5, 4)
• (14, 5)