Solving Systems of Equations All Methods

What is the solution to this system?

• (-2, -2)

• (2, -2)

• (-2,2)

• (2, 2)

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Solve for x and solve for y
3x  - 3y = 33
6x - 3y = 57

• (8,-3)

• (-3,8)

• (10,1)

• (10,-1)

Which method of solving a System of Equations is shown?

• Elimination

• Graphing

• Substitution

Solve the system using any method.

Systems of Equations

Match the following:

• any ordered pair that makes all equations in the system true

• Solution of a system of linear equations

• Finding the solution of by replacing a variable in one equation for what the variable equals

• Substitution

• Finding the solution of a system by where they intersect on a graph

• System of linear equations

• Finding how many solutions there are just by looking at the equations in y=mx+b

• Inspection

• two or more linear equations that use the same variables

• Graphing

Identify which method for solving systems is being described by this fact: The intersection point of the two lines is an ordered pair (x, y) and determines the value of the solution to the system of equations.

• Graphing

• Substitution

• Elimination (linear combination)

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 (linear combination)

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 (linear combination)