Chapter 5: Special Cases System of Equation.

Definition:

Solution of System of Linear Equation

• A point where two lines crosses each other.

• A letter or number representing a numerical quantity attached to a term (usually at the beginning). For example, x is the coefficient in the expression x(a + b) and 3 is the coefficient in the term 3y.

• The "point" at which a line or curve ends.

• A point that is exactly halfway between two locations.

Find the solution of the equations below by using substitution method.

y=2x+5

y=-4x-1

• (-5,-3)

• (1,-5)

• (-1,3)

• None of the above

FInd the solution of the equations below by using substitution method.

y=2x+1

y=-4x-5

• (2,2)

• (-1,-1)

• (-3,5)

• No solution

If there are two equations that are the same line on a graph, the linear system has infinite solutions!

• False

• True

If the lines are parallel, the linear system has no solution!

• True

• False

Find the solution of the equations below using elimination method.

x-3y=7

3x+3y=9

• (4,-1)

• (2,4)

• (-5,-3)

• (-4,1)

Find the solution of the 2 equations below:

y=5x+4

y=5x-100

• (5,4)

• (-2,6)

• (-5,-4)

• No solution

Does the system of equations below have No Solution, One Solution, or Infinite Solution?

• ONE SOLUTION

• NO SOLUTION

• INFINITE SOLUTION

Does the system of equations above have No Solution, One Solution, or Infinite Solution?

• INFINITE SOLUTION

• NO SOLUTION

• ONE SOLUTION

Hazel and Leo are comparing the number of keys on their keychains. If Leo has 4 more keys on his keychain than Hazel does on hers, and the two of them have 18 keys combined, how many keys does Hazel have on her chain?

• 5 keys

• 12 keys

• 7 keys

• None of the above