21-6 Types of Solutions

Which method would you use to solve #1?

• Elimination

• Matrix

• Graphs/Tables

• Substitution

Why did we choose substitution for #2?

• both equations said Ax+By=C

• One equation said y=

• both equations said y=

Which method do we pick for #3 and why?

Method:​ ​ (a)  

Reason:​ (b)  

• Susbstitution
• graphs and tables
• elimination
• matrix
• both equations said y=
• only one equaion said y=
• both equations say Ax+By=C

Which letter is going to be substituted?

• x

• y

What is y?

• 2

• 5

• 1

What is the

Slope?​ (a)  

y-intercept?​ (b)  

• -2
• 7
• -1/2
• 2/7

Look at Question 5. Which boxes would we check for this answer? (hint: pick 2 answers)

• The answer includes one value for x and one value for y

• both x and y canceled out of the equations, leaving only constants

• the constants made a false equation, like 0=12

• the constants made a true equation, like 0=0

Solve this equation for y.

-2x + y = -2

y = ​ (a)   x +​ (b)  

• 2
• -2
• 3
• 4
• 1
• -1

What are m and b?

m:​ (a)  

b=​ (b)   ​

• -1/2
• 3
• -3
• -2