Solve System of Equations with Elimination and Substitution

What if you are solving a system and the variables cancel out and you end up with a statement such as 3=3, what can you conclude about the system?

• the solution is 3

• there are no solutions

• you can't conclude anything

• there are infinite solutions

What is the solution to the system?

• (5,-3,2)

• (-3,5,2)

• no solution

• infinite solutions

Does the ordered triplet (2,1,-4) satisfy the system of equations above?

• Yes

• No

• No Clue

Using the substitution method, what is the solution to the quadratic system of equations above?

• (3, 2, 1/2)

• (9, 2, 3/2)

• (9, 2, 1/2)

• No Clue

Solve the system by elimination.

7x - y = -10

-7x + 5y = -6

• (-2, -4)

• (-2, -1)

• (-4, -1)

• (6, -8)

a method to solving a system of equations by getting rid of one of the variables first to solve for the other variable. 

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

a method of solving a system of equations by taking a variable out and replacing it with an expression.

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21

• (3,-9)

• (-3,-9)

• (-3,9)

• (0,1)

Solve the system by substitution.

• (−2, −7)

• (−2, 2)

• (−2, −2)

• (2, −2)

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.