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