Systems Elimination and Substitution Graph

Solve the system using substitution:

x = -3y - 17

2x + 3y = -7

• (1, -20)

• (3, 0)

• (-5, -2)

• (10 , -9)

Solve the system using elimination

3x+y=-5

6x+2y=10

• No Solution

• Infinite Number of Solutions

• (2,3)

• (6,-2)

Solve the system using substitution

y=8x+1

y=6x+3

• (1, 9)

• (4, 14)

• (0, 1)

• (2, 4)

Find x and y using the elimination method
2x+3y=7
2x+7y=11

• x=-2, y=-1

• x=2, y=-1

• x=2, y=1

• x=-2, y=1

What would be the first step in finding the solution using elimination?

• you cannot solve this using elimination

• cross out the 2x and 3x

• Add the like terms. The y terms will cancel out.

• change to slope intercept form and graph

Solve the system of equations using substitution

y = -6

-3x - 6y = 24

• (6, 6)

• (6, -6)

• (4, -6)

• (-6, 4)

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

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)

• ∅

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

• (-2, -1)

• (1, -2)

• (-2, 1)

• (-1, -2)