Systems 6.1-6.2

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

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

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

What is the solution?

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

Give the solution to the system.

• (3,1)
• (1,3)
• (-1,3)
• (1, -3)

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

• (6, 6)

• (6, 9)

• (9, 6)

• (9, 9)

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

The first step in solving using the substitution method is __________.

• get x by itself
• get y by itself
• get either variable by itself
• add the equations together

Is the point (2, -1) a solution to the systems of equations below?

y=5x+3

y=-2x-4

• Yes

• No

Solve by Substitution:

y=3x+14

y=-4x

• (2,-8)

• (-14,56)

• (-2,8)

• (8,-2)

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)