Systems of Equations

What is the solution to this system?
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

What is the solution to this system?
x - y = 6
y= 2x - 5

• (1,3)
• (-1,3)
• (-1,-7)
• (1,-7)

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

7x+4y =12 
x + 2y = -4

• (-4,4)
• (4,4)
• (4,-4)
• (-4,-4)

x = - 3
2x + 3y = 6

• (4,3)
• (-4,3)
• (-3,4)
• (3,-4)

2x - 3y = 6
7x - 3y = -9

• (-3,-4)
• (3,4)
• (-4,-3)
• (4,3)

The ordered pair that satisfies all equations in the system.

• system of equations
• function
• graph
• solution of a system

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

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

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)