Solving Systems of Equations by Adding and Subtracting

What is the elimination method for solving a system of equations?

• The elimination method involves graphing the equations and finding the intersection point.

• The elimination method involves multiplying the equations to eliminate one variable and solve for the other.

• The elimination method involves adding or subtracting the equations to eliminate one variable and solve for the other.

• The elimination method involves substituting one equation into the other to solve for the variables.

When should the elimination method be used to solve a system of equations?

• When the coefficients of one variable in both equations are the same.

• When the coefficients of one variable in both equations are additive inverses of each other.

• When the coefficients of one variable in both equations are positive.

• When the coefficients of one variable in both equations are equal to zero.

• substitution

• elimination

• equal values

Given this system of equations, what is the solution?

• One Solution

• No solution

• Infinitely Many Solutions

Solve the system using elimination.

2x + 3y = 12

5x - y = 13

• (-3, -2)

• (1.5, 2)

• (3, 0)

• (3, 2)

Solve by elimination:

7x+y=-9

-3x-y=5

• No solution

• (-1,8)

• (-2,-3)

• (-1,-2)

Solve by elimination 
2x+9y= -7 
6x-3y= 9 

• (-1, -1) 

• (2,-1)

• (1,1)

• (1,-1)

Solve this system of equation

-8x + y = 1

-6x + y = 3

• (1, 9)

• (4, 14)

• (0, 1)

• (2, 4)

Solve this system of equation

5x - 2y = 9

2x + 7y = -12

• (1, -1)

• (-1, 1)

• (-1, 2)

• (1, -2)