Solving System of Linear Equations Elimination and Substitution

Which is the best method for solving this system of equations?

• Substitution

• Equal Values

• Elimination

Which is the best method for solving this system of equations?

• Substitution

• Equal Values

• Elimination

Which is the best method for solving this system of equations?

• Substitution

• Elimination

• Equal Values

Which is the best method for solving this system of equations?

• Substitution

• Equal Values

• Elimination

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

When using any of the 3 methods to solve a system of linear equations the resulting solution is the same no matter which method is used.

• True; using any method will result in the correct solution.

• False; the solution varies because the solution depends on which method is used.

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)

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)