Solving Systems of Equations by Substitution and Graphing

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

Classify the system of equations

• consistent and independent

• consistent and dependent

• inconsistent

How many Solutions?

• One Solution

• No solution

• Infinitely Many Solutions

• (0, -1)

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

• intersecting lines

• parallel lines

• same lines

What is the solution to this system of equations? Solve by substitution or graphing.

• (7, -8)

• (-7, 8)

• (-7, -8)

• (7, 8)

If the solution is infinitely many the lines will ________?

• intersect at exactly one point

• be parallel

• overlap each other

• never exist

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

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

• One Solution

• No solution

• Infinitely Many Solutions

Solve this system of equations by graphing.

y = 4x - 2

y = -x + 3

• (-2,-1)

• (-1,-2)

• (1,2)

• (2,1)

Solve the system of equations using substitution:
y = 2x + 5
2x + 2y = 4

• (1, 7)

• (7, 1)

• (2, 9)

• (-1, 3)