Solving System of Linear Equations Using All the Methods

• (3,-7)

• No solutions

• Infinitely many solutions

• (5,11)

Using Substitution, solve for the following system of linear equations: y = 2x + 5 y = 4x + 9

• (-2, 1)

• (-2, -1)

• (2, -1)

• (2, 1)

Use elimination method to solve the system below. 4x + 8y = 20 -4x + 2y = -30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Solve by elimination:

4x + 4y = 4

3x + 4y = 10

• x = 7,y = -6

• x = -6, y = 7

• x = 6, y = 7

• x = 7, y = 6

Solve by elimination:

2x + 9y = -7

6x - 3y = 9

• (-1, -1)

• (2,-1)

• (1,1)

• (1,-1)

When solving a system of equations algebraically, which statement results in infinite solutions?

• 4 = 7

• 2 = 2

• -3 = 3

• all of the above

When solving a system of equations algebraically, which statement results in no solution?

• 4 = 7

• 2 = 2

• x = 5, y = 2

• (0, 0)

Identify which method for solving systems is being described by this fact: Equations must have like terms "stacked" up vertically, usually written in standard form.

• Graphing

• Substitution

• Elimination (adding or multiplying)

Identify which method for solving systems is being described by this fact: If like terms do not have a matching coefficient, multiplying one or both of the equations by a certain factor to transform the equations into a set of like terms with a matching set of coefficients.

• Graphing

• Substitution

• Elimination (adding or multiplying)

Identify which method for solving systems is being described by this fact: The solution to a system of equations must make both of the equations true.

• Graphing

• Substitution

• Elimination (adding or multiplying)

• All 3 methods