Identify Method for Systems of Equations

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

Identify which method for solving systems is being described by this fact: Equations must be written in slope-intercept form

• Graphing

• Substitution

• Elimination (adding or multiplying)

Identify which method for solving systems is being described by this fact:
If one equation is isolated like y = 2x or x = 7 - 4y then this method should be used.

• Graphing

• Substitution

• Elimination (adding or multiplying)

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 have a matching coefficient but not opposite values, take the opposite of every term in one equation.

• Graphing

• Substitution

• Elimination (adding or multiplying)

Identify which method for solving systems is being described by this fact: When solving the system a true statement results like 6 = 6 or 0 = 0 and the answer is Infinite Solutions.

• Graphing

• Substitution

• Elimination (adding or multiplying)

• All 3 methods

Identify which method for solving systems is being described by this fact: When the lines are parallel and do not intersect at any points the solution is No Solutions.

• Graphing

• Substitution

• Elimination (adding or multiplying)

• All 3 methods

Identify which method for solving systems is being described by this fact: When the lines are intersecting at every point because they coincide and are the exact same line the solution is Infinite Solutions.

• Graphing

• Substitution

• Elimination (adding or multiplying)

• All 3 methods

Identify which method for solving systems is being described by this fact:

The drawback to using this method is that integer values are not always found at the intersection point and the solution might need to be estimated.

• Graphing

• Substitution

• Elimination (adding or multiplying)

• All 3 methods

Here is a graphed system of equations. Identify the solution to the system.