Substitution & Graphing Progress

Given the following equation, is (3,5) a solution?

 $y=x+2$  
 $2x+2y=16$  

• Yes

• No

What would the first step look like when solving this problem?

 $y=-3x+14$  
 $x=3y-12$  

•  $y=-9y-36+14$  

•  $x=3\left(-3x+14\right)-12$  

•  $y=-3\left(-3y+12\right)+14$  

What is the solution to the following system?

 $y=4x$  
 $x+y=5$  

• (1,4)

• (4,1)

• (1.25, 5)

• (5,1.25)

What does the graph of a system of equations look like when the answer is NO SOLUTION?

• Crossing at one point

• Same Line

• Parallel Lines

What does the graph of a system of equations look like when the answer is Infinitely Many Solutions?

• The lines cross

• The lines are the same line

• The lines are parallel

What does the graph of a system of equations look like when the answer is (4,5)?

• The lines cross

• The lines are the same line

• The lines are parallel

As of today, rate yourself on the objective.

I can solve a system of equations using all three methods independently.

**Graphing

**Substitution

** Elimination Day 1

• 3 - I can proficiently solve a system of linear equations algebraically and/or graphically using graphing, substitution and elimination.

• 2 - I can proficiently solve a system of linear equations using two of the three methods listed above.

• 1 - I can identify the solution to a system of linear equations as the intersection point of the two equations and express it as an ordered pair (x,y).