Solving system of equations

1
Unit 1

• Solving system of equations

2
System of equations

• Define system of equations- a set of two or more
  equations
• Define solution of a system- ordered pair(s)
  that make all the equations true.
• Key concept the solution to a system is where
  the graphs intersect.

Lines are Parallel No solution
Lines coincide Infinitely many solutions
Lines intersect 1 solution
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Solve by Substitution
4
Solve by Elimination
Would it change the solution if we solved by
eliminating the x instead of the y?
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System word problem

• Mr. Smith bought 2 lbs of jelly and 3 lbs of
  peanut butter. He paid 26.35. Mrs. Sing paid
  18.35 for 1.5 lbs of jelly and 2 lbs of peanut
  butter. What was the price per pound of each item?

1st write two equations that model the above
situation.
Mr. Smiths shopping trip Mrs. Sings shopping
trip
Then solve the system by using any method.
4.70/lb for Jelly 5.65/lb for Peanut Butter