Post on 26-Mar-2015
Solving Systems of Equations by Substitution
Objectives:Solve Systems of Equations using substitution.Solve Real World problems involving systems of equations.
Objectives:Solve Systems of Equations using substitution.Solve Real World problems involving systems of equations.
Systems of Equations
Review• How many ways can two lines lie on a
coordinate plane?
• What is the solution for a system of equations in each case?
Substitution• Solve each system of equations and state
the solution(s) if solution(s) exist.
Y = 5x and 2x +3y = 34
2x+3( ) = 342x + 15x = 34 17x = 34
17 x = 2
5x
Y = 5( )
Y = 10
2
Solution = (2, 10)
Substitution• Solve each system of equations and
state the solution(s) if solution(s) exist.
X + y = 16 and 2y = 2x + 2
y = 16 - x 2( ) = 2x + 2
32 – 2x = 2x + 2
32 = 4x + 2
30 = 4x
7.5 = x
16 - x
Substitution• Solve each system of equations and
state the solution(s) if solution(s) exist.
X + 3y = 12 and x – y = 8
Substitution• Solve each system of equations and state
the solution(s) if solution(s) exist.
Y= 3/5 x and 3x – 5y = 15
Substitution• Solve each system of equations and
state the solution(s) if solution(s) exist.
Y=3x+2 and 6x -2y = -4
Substitution
• C – 5d = 2 and 2c + d = 4
Substitution
• 5r – s = 5 and -4r + 5s = 17
Assignment
•Page 379 #11-17
•SHOW WORK!!!
• Remember Solution is an ordered pair.
•Page 379 #11-17
•SHOW WORK!!!
• Remember Solution is an ordered pair.
Second Page
Second Page