Systems of Equations

Solve the system of equations.

y = 4x+1

3x + 2y = 13

what is the value of x?

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 

• (5, 8)
• (5, -8)
• (-5, -18)
• (-5, 8)

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

• yes
• no

Solve for x and y

3x + 2y = 16

7x + y = 19

Solve the system of equations
  4x+8y=20
-4x+2y=-30

• (-7,1)
• (2,-5)
• (-2,5)
• (7,-1)

3x - 3y = 33

6x - 3y = 57

What is the first step in solving this system of equation?

• substitute one equation into the other

• add the two equations together to cancel out a variable

• multiply one equation to create an opposite

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

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

• (-7,0)
• (6,0)
• (-6,0)
• (7,0)

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

What will y equal?

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

• No solution

• (1, 2)

• (3, 0)

• (2, 1)