Introduction: Systems of Equations

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

This system has _____ solutions

• no

• 1

• Infinitely many

Leslie graphed two lines in order to find the solution to a given system of equations.

What is the solution?

• (-3,-8)

• (-8,-3)

• (3,-8)

• (8,3)

Without any writing or work, can you determine how many solutions?

• Infinite

• One

• None

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes
• no

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

• (0,3)
• (3,0)
• No solution(parallel lines)
• Infinitely many solutions

The solution of a system of linear equations is...

• the y-intercept (b)

• the intersection of the two equations on a graph

• the x value of when solving an equation

• the slope (m)

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount? 

• y = 9.65 + x
  y = 8.40 + x
• y = 9.65x + 43
  y = 8.40x + 58
• y =9.65x
  y = 8.40x
• y = 9.65x - 43
  y = 8.40x - 58

What is the solution to this system?
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

What is the solution to this system?
x - y = 6
y= 2x - 5

• (1,3)
• (-1,3)
• (-1,-7)
• (1,-7)