Solving System of Equations by Graphing and substitutions

These two lines intersect at _____.

• (4, -2)
• (4, 2)
• (-2, 4) 
• No solution

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• same lines

If the solution is infinitely many the lines will ________?

• intersect at exactly one point
• be parallel
• overlap each other
• never exist

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 substitution. 
3x − 2y = 7 
y = 2x − 7 

• No solution 
•  (7, 7)  
•  (−7, −7)  
•  (−7, −3)  

Solve this system of equations. 
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

Solve:
y=8x+1
y=6x+3

• (1, 9)
• (4, 14)
• (0, 1)
• (2, 4)

What is the solution to the system?

• (3, -1)
• (2, -6)
• No Solution 
• (6, -2)

Solve the following system:

 $-7x-2y=-13$  

 $x=2y+11$  

•  $\left(3,\ -4\right)$  

•  $\left(3,\ 4\right)$  

•  $\left(-3,\ -4\right)$  

•  $\left(-3,\ 4\right)$