Solving Systems using Graphing, Substitution and Elimination

Solve the system using substitution.

x + y = 19

y = 3x - 1

• (14, 5)

• (11, 8)

• (5, 14)

• (8, 11)

Solve the system by using elimination (add):

3x + y = 19

2x - y = 6

• (5, 14)

• (4, 5)

• (5, 4)

• (14, 5)

Which method would be best (quickest) for solving the system below:

3x - 4y = -2

y = 2x + 1

• Substitution

• Elimination

• Graphing

• None

Solve the system:
2x - 5y = 12
y = -2

• y = -2
• (11, -2)
• (1, -2)
• no solution

Tags

CCSS.HSA.REI.C.9

Solve the system by using elimination (add)

7x - y = -10

-7x + 5y = -6

• (-2, -4)

• (-2, -1)

• (-4, -1)

• (6, -4)

a method to solving a system of equations using the xy plane or coordinate grid

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

a method of solving a system of equations by replacing a variable with an expression

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

a method to solving a system of equations by adding or subtracting the equations to remove one of the variables first and then solving for the other variable

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

Solve the system by elimination (add):

x + 6y = 17

-x + 3y = -8

• (5, 2)

• (11, 1)

• (1, 11)

• no solution

When I add these two equations, what is the variable that will be "eliminated"?

5x - 4y = 11

5x + 4y = -14

• x variable

• y variables

• both variables