Alg. 1 10.6 Solving Systems

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)
• (3,0)
• No solution(parallel lines)
• Infinitely many solutions

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Solve for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)
• (0,-3)
• (3,0)
• (-3,0)

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

• Infinitely Many Solutions
• No Solution

Solve the system of equations.
x + 2y = -3
x - y = -12

• (-9, 3)
• (-7 ,5)
• (3, 15)
• (9, 6)

Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 
• Infinite number of solutions  
• (−6, 10) 
• (6, 4) 

1)  -4x-2y=-12
      4x+8y=-24

• (6,-6)
• (-6,6)
• (6,6)
• (-6,-6)

Type the first step to solve this system using substitution:

 $y=-5x$  
 $2x+6y=-3$  

• 2x + 6(-5x) = -3

• 2x - 5x = -3

• y + 6(-5y) =-3

• 2(-5x) + 6y = -3