Solving Systems of Equations

Solve for x and y
2x − 3y = −1
 y = x − 1

• (-2,-3)
• (0,-1)
• (3,4)
• (4,3)

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

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. 

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

Solve by elimination:
4x+9y=28
-4x-y=-28

• (-7,0)
• (6,0)
• (-6,0)
• (7,0)

Solve by elimination:

3x+7y=23

-3x-7y=-17

• No solution

• (0, 3)

• (-3,3)

• (3,3)

Solve by elimination:
4x + 4y = 4
   3x + 4y =10

• (7,-6)
• (-6,7)
• (6,7)
• (7,6)

Solve for x and y
5x + 3y = 7
y = 4

• (4,1)
• (4,-1)
• (1,4)
• (-1,4)

Steffen 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)