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IM 8.4.14 Lesson: Solving More Systems

Solve these without writing anything down:

Below are a lot of systems of equations.

A E I 
B F J
C G K
D H L
Without solving, identify 3 systems that you think would be the least difficult to solve. Explain your reasoning.

Without solving, identify 3 systems that you think would be the most difficult to solve. Explain your reasoning.

Choose 4 systems to solve. At least one should be from your "least difficult" list and one should be from your "most difficult" list.

1st system with solution: ("least difficult")

2nd system with solution:

3rd system with solution:

4th system with solution: ("most difficult")

Tyler was looking at this system of equations:

He said,  "Just looking at the system, I can see it has no solution. If you add two numbers, that sum can’t be equal to two different numbers.” Do you agree with Tyler? Explain your reasoning.

In rectangle  , side  is 8 centimeters and side  is 6 centimeters. is a point on  and is a point on . The area of triangle is 20 square centimeters, and the area of triangle  is 16 square centimeters. What is the area of triangle ?