Unit 5 Review

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

• intersecting lines

• parallel lines

• identical (the same) lines

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

• Intersecting lines

• Parallel lines

• Identical (the same) lines

^{What is the solution to the system?} 

• (1,1)
• -2
• (1, 2)
• (1, -1)

What is the solution?

• (-3,-8)

• (-8,-3)

• (3,-8)

• (8,3)

How many solutions will this system have?

• One
• Two
• No Solution
• Infinitely Many Solutions

Solve by graphing. Hint: Sketch a graph to help you solve this.

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Solve this system of equations by graphing. 
y = 2/3x - 2
y = -x + 3

• (0,3)
• (0,-3)
• (3,0)
• (-3,0)

Solve by substitution

y = 8

2x + y = 18

• (5, 8)

• (-5, 8)

• (2, 8)

• (-2, 8)

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

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

x + 2y = 2
x = -4y + 2

• (-3, 0)
• (0, 2)
• (-3, -2)
• (2, 0)