Solving Systems of Equations

How many solutions will this system have?

• No solution

• One Solution

• Same Slopes

• Infinitely Many Solutions

Lesly 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)

Which image shows a system of linear equations with infinitely many solutions?

• 
• 
• 
• 

• x

• y

• both

• neither

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

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

What number should we multiply by and on which equation?
3x + 2y = 16
7x + y = 19

• bottom, -2

• top, -2

• bottom, 3

• top, -3

Solve the system using elimination.
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

7x - y = 10

-7x + y = -14

• No Solution

• (4, 1)

• Infinitely Many Solutions

• (2, -4)

Solve the following system of equations using substitution:

y = 3 - x

3y + x = 5

• No solution

• (1, 2)

• (3, 0)

• (2, 1)

Solve the system by using the substitution method

y = 2x

x + y = 9

• (3,6)

• (6,3)

• (1,4)

• (4,1)