Solving Systems of Equations

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 the system by substitution.
 
5x + 4y= −14
y =  −7x  −  15 

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

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

• (-7,0)
• (6,0)
• (-6,0)
• (7,0)

Use Substitution to solve the system:

x = 2y - 9

2x + 3y = 17

• (1,2)

• (1,5)

• (5,1)

• (2,1)

Use Substitution to solve the system.

x - 3y = -17

5x +3y = -13

• (5,4)

• (4,5)

• (4,-5)

• (-5,4)

Solve the system using elimination.

2x + 3y = 12

5x - y = 13

• (-3, -2)

• (1.5, 2)

• (3, 0)

• (3, 2)

Identify the number of solutions for the system of equations.

• One

• None

• Infinitely Many