Algebra 2A section 3.2 Substitution and Elimination Methods

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

Solve 
4x+ 9y = 28
-4x -y = -28

• (-7,0)
• (6,0)
• (-6,0)
• (7,0)

Solve 
 x  -   y  =  11
2x +  y  = 19

• (10,-1)
• (-1,10)
• (3,-4)
• (6,7)

Solve the system:
x + 6y = 17
x - 3y = 8

• (5, 2)
• (11, 1)
• (1, 11)
• no solution

Solve the system of equations using substitution:
-4x + 4y = 8
y = -2x - 10

• (-4, -2)
• (12, -34)
• (4, -18)
• (-2, -6)

Solve the system of equations using substitution

x = -3y - 17

2x + 3y = -7

• (1, -20)

• (3, 0)

• (-5, -2)

• (10 , -9)

Solve the system of equations using substitution

y = -6

-3x - 6y = 24

• (6, 6)

• (6, -6)

• (4, -6)

• (-6, 4)

Solve the system of equations using substitution

y = 7x + 7

2y + 2x = -18

• (5, 0)

• (9, 18)

• (-2, -7)

• (1, 16)

Solve the system by substitution. 
y = 2x − 11 
2x − 8y = 4 

•  (6, 1)
• (6, −4)
• (6, −1)
• Infinite number of solutions  

Solve the system by elimination.

8x +10y = - 20

−8x − 6y = −4

• Infinite number of solutions

• (6, 5)

• (−6, −5)

• (5, −6)