Systems of Equations by Graphing and Substitution

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

This system has _____ solutions

• no
• 1
• 2
• Infinitely many

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution
• No solution
• Infinitely Many Solutions

What is the solution to the system?

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

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

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

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. 

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

The equations of two lines are:
 2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?

• x=8
• x=3
• x=11
• x=5

Solve:
6x + 2y = -20
y = -2x - 4

• (-5, -14)
• (1, 6)
• (-6, 8)
• (2, -8)