Solving Equations with Substitution and Eliminations

Systems by Substitution

5) x = ___

• 22

• 5

• 9

• 4

Consist of two or more linear equations that have the same variables.

• Linear System

• Function Notation

• Direct Variation

• Literal Equation

Solve using substitution or elimination. −4x − 2y = −12 4x + 8y = −24

• (5,-5)

• (6,-6)

• No solution

• Infinitely many solutions

7. Solve the system of linear equations: 2x + 5y = 13 and 3x - 2y = 4

• x = 4, y = 4

• x = 3, y = 1

• x = 2, y = 3

• x = 5, y = 2

29x+37y=103 and 37x+29y = 95 then

• x=1, y=2

• x=2, y=1

• x=3, y=2

• x=2, y=3

If 2x+3y = 12 and 3x-2y=5 then

• x = 2, y = 3

• x = 2, y = -3

• x = 3, y = 2

• x = 3, y = -2

Solve:
x + y = 4
-5x - 6y = -18

• (6, -2)

• (-6, 10)

• (2, 2)

• (-2, 6)

Solve:
x + y = 4
-5x - 6y = -18

Solve the following system of equations: 5x - 4y = 3 and 2x + 3y = 8

• x = 4, y = 3

• x = 2, y = 1

• x = 3, y = 2

• x = 1, y = 5

10. Solve the following system of equations: 5x - 4y = 3 and 2x + 3y = 8

• x = 4, y = 3

• x = 2, y = 1

• x = 3, y = 2

• x = 1, y = 5